Title Dr. First Name ATUL Last Name
Designation Associate Professor
Department Department of Mathematics
Email
Webpage
Phone.no 9650980356
Employement Info
Employee Type Nature Of Employment
Teaching Permanent
Educational Qualifications
Degree/Certification Name Institution Year of Completion
Ph.D. - Mathematics (Commutative Algebra) IIT Kanpur 2008
PG Dr. Bhimrao Ambedkar University Agra 1999
UG Dr. Bhimrao Ambedkar University Agra 1996
SSC U.P Board 1992
HSC U.P Board 1990
Fellowship Details
Name Of Fellowship Awarding Body Fellowship Level
CSIR SRF CSIR National
CSIR JRF CSIR National
Development of E-content
Name of The Module Platform/Organization Date of Launching
Algebraic extensions, Finite fields and Constructible numbers Other 03-05-2016
Field extensions, Splitting field and Perfect field Other 03-05-2016
Teaching Experience (Within Institution)
Designation Duration
Assistant Professor 15-11-2008 To 26-12-2009 (1 years, 1 months, 11 days)
Associate Professor 23-02-2021 To 31-12-2022 (1 years, 10 months, 8 days)
Lecturer 17-12-2007 To 31-10-2008 (10 months, 14 days)
Assistant Professor, Stage-II 23-02-2013 To 22-02-2018 (4 years, 11 months, 30 days)
Assistant Professor, Stage-III 23-02-2018 To 22-02-2021 (2 years, 11 months, 30 days)
Assistant Professor, Stage-I 07-01-2010 To 22-02-2013 (3 years, 1 months, 15 days)
Research Supervision Overview
PhD Scholars Supervised PhD Degrees Awarded Theses Submitted
4 4 0
Research Publications
Title of Article Type of Publication Name of Journal ISSN Journal Volume Year Link to Article DOI (Digital Object Identifier)
Construction of highly non-linear permutations on Z_2p with differential uniformity at most 8 Research Papers in Web of Science Listed Journals Finite Fields and Their Applications 1071-5797 92 https://www.sciencedirect.com/science/article/abs/pii/S1071579723001478 https://doi.org/10.1016/j.ffa.2023.102305
Construction of new Hadamard matrix forms to generate 4 × 4 and 8 × 8 involutory MDS matrices over GF(2^m) for lightweight cryptography Research Papers in Web of Science Listed Journals Defence Science Journal 0011-748X / 0976-464X 74 (1) 2023 https://publications.drdo.gov.in/ojs/index.php/dsj/article/view/18824?csrf_token=C2BEED3F0AABA1131C61F0CB0B200B32DC0661547DF3E38F79DCED5C5C63AC40 https://doi.org/10.14429/dsj.74.18824
On minimal ring extensions Research Papers in Scopus Listed Journals Palestine Journal of Mathematics 2219-5688 12 (SI III) https://pjm.ppu.edu/sites/default/files/papers/PJM_12%28Special%20Issue%20III%29_2023_73_to_78.pdf
Almost ϕ-integrally closed rings Research Papers in Web of Science Listed Journals Communications in Algebra 0092-7872/ 1532-4125 52 (3) 2023 https://www.tandfonline.com/doi/full/10.1080/00927872.2023.2255270 https://doi.org/10.1080/00927872.2023.2255270
A note on maximal non-λ-rings Research Papers in Scopus Listed Journals Asian-European Journal of Mathematics 1793-5571 16 (10) https://www.worldscientific.com/doi/epdf/10.1142/S1793557123501747 10.1142/S1793557123501747
A QUESTION ABOUT MAXIMAL NON phi-CHAINED SUBRINGS Research Papers in Web of Science Listed Journals COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY 1225-1763 38 https://doi.org/10.4134/CKMS.c210272 https://doi.org/10.4134/CKMS.c210272
On full di erential uniformity of permutations on the ring of integers modulo n Research Papers in Web of Science Listed Journals Applicable Algebra in Engineering, Communications and Computing 0938-1279 34 https://link.springer.com/article/10.1007/s00200-021-00503-w https://doi.org/10.1007/s00200-021-00503-w
A Corrigendum to "Hereditary Properties Between a Ring and its Maximal Subrings" Research Papers in Web of Science Listed Journals Ukrainian Mathematical Journal 0041-5995 70 https://link.springer.com/article/10.1007/s11253-018-1524-x DOI 10.1007/s11253-018-1524-x
When the Maximal Graph is Planar, Outerplanar and Ring Graph Research Papers in Web of Science Listed Journals Discrete Mathematics, Algorithms and Applications 1793-8309 10 https://www.worldscientific.com/doi/10.1142/S1793830918500325 DOI: 10.1142/S1793830918500325
Δ-extension of rings and invariance properties of ring extension under group action Research Papers in Web of Science Listed Journals Journal Of Algebra And Its Applications 0219-4988 17 https://www.worldscientific.com/doi/10.1142/S0219498818502390 https://doi.org/10.1142/S0219498818502390
Line Signed Graph of a Signed Total Graph Research Papers in Peer Reviewed Journals Electronic Notes in Discrete Mathematics 1571-0653 63 https://www.sciencedirect.com/science/article/abs/pii/S1571065317303384 https://doi.org/10.1016/j.endm.2017.11.036
Eulerian Graphs and Automorphisms of a Maximal Graph Research Papers in Web of Science Listed Journals Indian Journal of Pure and Applied Mathematics 0019-5588 48 https://link.springer.com/article/10.1007/s13226-017-0224-9 DOI: 10.1007/s13226-017-0224-9
On λ-extensions of commutative rings Research Papers in Web of Science Listed Journals Journal Of Algebra And Its Applications 0219-4988 17 https://www.worldscientific.com/doi/10.1142/S0219498818500639 DOI: 10.1142/S0219498818500639
Hamiltonian property of a maximal graph and chromatic number of its line graph Research Papers in Web of Science Listed Journals JP Journal of Algebra, Number Theory and Applications 0972-5555 38 http://www.pphmj.com/abstract/10374.htm http://dx.doi.org/10.17654/NT038060589
C-Consistency in signed total graphs of commutative rings Research Papers in Web of Science Listed Journals Discrete Mathematics, Algorithms and Applications 1793-8309 8 https://doi.org/10.1142/S1793830916500415 https://doi.org/10.1142/S1793830916500415
Line Graphs associated to the Maximal Graphs Research Papers in Scopus Listed Journals Journal of Algebra and Related Topics, 2345-3931 3 https://jart.guilan.ac.ir/article_1209_6febd2a7a22b03870dcd02ddde00b032.pdf https://jart.guilan.ac.ir/article_1209_6febd2a7a22b03870dcd02ddde00b032.pdf
Maximal Graph of a commutative ring Research Papers in Peer Reviewed Journals International Journal of Algebra 1312-8868 7 http://www.m-hikari.com/ija/ija-2013/ija-9-12-2013/sharmaIJA9-12-2013-2.pdf http://dx.doi.org/10.12988/ija.2013.3773
The Theta ideal, Dense Submodule and the Forcing Linearity Number for a Multiplication Module Research Papers in Web of Science Listed Journals Beitrage zur Algebra und Geometrie 0138-4821 50 https://www.emis.de/journals/BAG/vol.50/no.2/b50h2gau.pdf https://www.emis.de/journals/BAG/vol.50/no.2/b50h2gau.pdf
Minimal Prime Submodules Research Papers in Peer Reviewed Journals International Journal of Algebra 1312-8868 2 http://www.m-hikari.com/ija/ija-password-2008/ija-password17-20-2008/gaurIJA17-20-2008.pdf http://www.m-hikari.com/ija/ija-password-2008/ija-password17-20-2008/gaurIJA17-20-2008.pdf
Maximally differential graded ideals in zero characteristic Research Papers in Web of Science Listed Journals Hiroshima Mathematical Journal 0018-2079 38 https://projecteuclid.org/journals/hiroshima-mathematical-journal/volume-38/issue-1/Maximally-differential-graded-ideals-in-zero-characteristic/10.32917/hmj/1207580343.full?tab=ArticleFirstPage 10.32917/hmj/1207580343

Prime Submodules in Multiplication Modules Research Papers in Peer Reviewed Journals International Journal of Algebra 1312-8868 1 http://www.m-hikari.com/ija/ija-password-2007/ija-password5-8-2007/parkashIJA5-8-2007.pdf http://dx.doi.org/10.12988/ija.2007.07041
Maximal Non-Valuative Domains Research Papers in Web of Science Listed Journals Proceedings-Mathematical Sciences 0973-7685 134 2024 https://link.springer.com/article/10.1007/s12044-024-00781-7#citeas https://doi.org/10.1007/s12044-024-00781-7
Non-reduced rings of small order and their maximal graph Research Papers in Care Listed Journals Journal of Algebra and Related Topics 2345-3931 6 (1) https://jart.guilan.ac.ir/article_3025_8bced734856b35561fe82af4e15d0d5c.pdf 10.22124/JART.2018.10130.1097
A note on imbedded prime divisors Research Papers in Web of Science Listed Journals Contributions to Algebra and Geometry 0138-4821 62 (3) https://link.springer.com/article/10.1007/s13366-020-00508-5 10.1007/s13366-020-00508-5
Avoidance principle and intersection property for a class of rings Research Papers in Web of Science Listed Journals Czechoslovak Mathematical Journal 0011-4642 70 (4) https://link.springer.com/article/10.21136/CMJ.2020.0360-19 10.21136/CMJ.2020.0360-19
Maximal Non ϕ-Chained Rings and Maximal Non Chained Rings Research Papers in Web of Science Listed Journals Results in Mathematics 1422-6383 74 (3) https://link.springer.com/article/10.1007/s00025-019-1043-6 doi.org/10.1007/s00025-019-1043-6
A note on λ-domains and Δ-domains Research Papers in Web of Science Listed Journals Bulletin of the Belgian Mathematical Society 1370-1444 27 (4) https://projecteuclid.org/journals/bulletin-of-the-belgian-mathematical-society-simon-stevin/volume-27/issue-4/A-note-on-lambda-domains-and-Delta-domains/10.36045/j.bbms.190718.short 10.36045/j.bbms.190718
Maximal Labeling of Graphs Research Papers in Web of Science Listed Journals Discrete Mathematics, Algorithms and Applications 1793-8309 11 (4) https://www.worldscientific.com/doi/abs/10.1142/S1793830919500447 https://doi.org/10.1142/S1793830919500447
Maximal non valuation domains in an integral domain Research Papers in Web of Science Listed Journals Czechoslovak Mathematical Journal 0011-4642 70 (4) https://link.springer.com/article/10.21136/CMJ.2020.0360-19 10.21136/CMJ.2020.0360-19
λ-rings, ϕ-λ-rings, and ϕ-Δ-rings Research Papers in Web of Science Listed Journals Filomat 0354-5180 33 (16) https://www.pmf.ni.ac.rs/filomat-content/2019/33-16/33-16-7-11436.pdf 10.2298/FIL1916125K
Three open questions on residually small rings Research Papers in Web of Science Listed Journals Rocky Mountain Journal of Mathematics 0035-7596 50 (1) https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-50/issue-1/Three-open-questions-on-residually-small-rings/10.1216/rmj.2020.50.177.short 10.1216/rmj.2020.50.177
b-Symbol distance of constacyclic codes of length p^{s} over F_{p^{m}} + uF_{p^{m}} Research Papers in Web of Science Listed Journals IEEE Access 2169-3536 8 https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=9057447 10.1109/ACCESS.2020.2985714
Pointwise maximal subrings Research Papers in Web of Science Listed Journals Contributions to Algebra and Geometry 0138-4821 62 (4) https://link.springer.com/article/10.1007/s13366-020-00537-0 10.1007/s13366-020-00537-0
Energy of a Maximal Graph Research Papers in Web of Science Listed Journals Palestine Journal of Mathematics 2219-5688 10 (1) https://pjm.ppu.edu/sites/default/files/papers/PJM_NOV_2020_69_to77.pdf No DOI
Maximal non-Prufer and maximal non ϕ-Prufer rings Research Papers in Web of Science Listed Journals Communications in Algebra 0092-7872 50 (4) https://www.tandfonline.com/doi/full/10.1080/00927872.2021.1986517?scroll=top&needAccess=true 10.1080/00927872.2021.1986517
A note on pair of rings with the same prime ideals Research Papers in Web of Science Listed Journals Hiroshima Mathematical Journal 0018-2079 52 (1) https://projecteuclid.org/journals/hiroshima-mathematical-journal/volume-52/issue-1/A-note-on-pairs-of-rings-with-the-same-prime/10.32917/h2021037.full 10.32917/h2021037
Maximal non-ϕ-pseudo-valuation rings Research Papers in Web of Science Listed Journals Journal of Algebra and Its Applications 0219-4988 21 (5) https://www.worldscientific.com/doi/10.1142/S0219498822500906 10.1142/S0219498822500906
Hamming distance of repeated-root constacyclic codes of length 2p^{s} over F_{p^{m}} + uF_{p^{m}} Research Papers in Web of Science Listed Journals Applicable Algebra in Engineering, Communication and Computing 0938-1279 31 (3-4) https://link.springer.com/article/10.1007/s00200-020-00432-0 10.1007/s00200-020-00432-0
On a field-theoretic invariant for extensions of commutative rings, II Research Papers in Web of Science Listed Journals Palestine Journal of Mathematics 2219-5688 10 (2) https://pjm.ppu.edu/sites/default/files/papers/PJM_June_2021_373_382_0.pdf No DOI
Maximal non λ-subrings Research Papers in Web of Science Listed Journals Czechoslovak Mathematical Journal 0011-4642 70 (2) https://cmj.math.cas.cz/full/70/2/cmj70_2_3.pdf 10.21136/CMJ.2019.0298-18
A note on ϕ-λ-rings and ϕ-Δ-rings Research Papers in Web of Science Listed Journals Rendiconti del Circolo Matematico di Palermo Series II 0009-725X 70 (3) https://link.springer.com/article/10.1007/s12215-020-00580-9 10.1007/s12215-020-00580-9
A note on residually small rings and modules Research Papers in Web of Science Listed Journals Palestine Journal of Mathematics 2219-5688 11 (1) https://pjm.ppu.edu/sites/default/files/papers/PJM_November_2021_149_to_151.pdf No DOI
Non-Journal Publications
Title of Publication Type of Publication Publisher Role ISBN Year Link to Publication Level
On differential uniformity and nonlinearity of permutations on Z_n, Full Paper in Conference Proceedings/Other Springer Co-Author 978-981-16-6889-0 https://doi.org/10.1007/978-981-16-6890-6 International
A Note on FMS Modules and FCP Extensions Full Paper in Conference Proceedings/Other Springer Co-Author 978-981-19-3897-9 https://doi.org/10.1007/978-981-19-3898-6 International
Research Projects
Project Title Project Type Year Of Sanction Outcome/Output Duration
Automorphism Group & Crossing Number of Maximal Graphs 2013 Output published in the form of research papers 21-10-2013 To 15-03-2014 (4 months, 22 days)
Hamiltonian property of Maximal Graphs and Chromatic Number of its line graph 2015 Output published in the form of research papers 15-10-2015 To 14-10-2016 (11 months, 29 days)
Graph Theoretic properties of commutative rings 2012 Output published in the form of research papers 03-06-2012 To 15-02-2013 (8 months, 12 days)
On some ring extensions 2019 Output published in the form of research papers 14-03-2019 To 13-03-2022 (2 years, 11 months, 27 days)
A generalization of almost integrally closed domains 2022 Outcome published in a research paper in Communications in Algebra (SCI journal) 31-08-2022 To 23-02-2023 (5 months, 23 days)
To study the idealization of a module 2011 Survey Completed 16-06-2011 To 15-02-2012 (7 months, 30 days)
Line Graphs of Maximal Graphs 2014 Output published in the form of research papers 15-10-2014 To 30-09-2015 (11 months, 15 days)
Generalization of radical formula for modules 2011 Survey Completed 31-01-2011 To 31-03-2011 (2 months)
Maximal non-ϕ-Mori extensions Minor 2023 01-09-2023 To 31-03-2024 (6 months, 30 days)
On ϕ-rings Major 2023 Ongoing since 26-09-2023 (1 years, 1 months, 26 days)
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