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
Degree/Certification Institution Year
Ph.D. - 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
Fellowship Name Fellowship Body Level
CSIR SRF CSIR National
CSIR JRF CSIR National
Development of E-content
Institute Academic Year Duties Assigned
Algebraic extensions, Finite fields and Constructible numbers Other 3877
Field extensions, Splitting field and Perfect field Other 3877
Teaching experience inside the Institution
Designation Institution Duration From Duration To
Assistant Professor The LNMIIT Jaipur 2008-11-15 2009-12-26
Associate Professor University of Delhi, Delhi 2021-02-23 2022-12-31
Lecturer Birla Institute of Technology and Science Pilani, Goa Campus, Goa 2007-12-17 2008-10-31
Assistant Professor, Stage-II University of Delhi 2013-02-23 2018-02-22
Assistant Professor, Stage-III University of Delhi 2018-02-23 2021-02-22
Assistant Professor, Stage-I University of Delhi 2010-01-07 2013-02-22
Research Guidance
PhD scholars under Supervision Awarded PhD Submitted
4 3
Research Publications
Article Name Publication Type Journal Name ISSN No Volume Year URL DOI
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) 2018 https://jart.guilan.ac.ir/article_3025_8bced734856b35561fe82af4e15d0d5c.pdf 10.22124/JART.2018.10130.1097

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) 2020 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) 2019 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) 2020 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) 2019 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) 2020 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) 2019 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) 2020 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 2020 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) 2021 https://link.springer.com/article/10.1007/s13366-020-00537-0 10.1007/s13366-020-00537-0

A note on imbedded prime divisors Research Papers in Web of Science Listed Journals Contributions to Algebra and Geometry 0138-4821 62 (3) 2021 https://link.springer.com/article/10.1007/s13366-020-00508-5 10.1007/s13366-020-00508-5

Maximal non-Prufer and maximal non ϕ-Prufer rings Research Papers in Web of Science Listed Journals Communications in Algebra 0092-7872 50 (4) 2022 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) 2022 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) 2022 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) 2020 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) 2021 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) 2020 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) 2021 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) 2022 https://pjm.ppu.edu/sites/default/files/papers/PJM_November_2021_149_to_151.pdf No DOI

Energy of a Maximal Graph Research Papers in Web of Science Listed Journals Palestine Journal of Mathematics 2219-5688 10 (1) 2021 https://pjm.ppu.edu/sites/default/files/papers/PJM_NOV_2020_69_to77.pdf No DOI

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 2023 https://link.springer.com/article/10.1007/s00200-021-00503-w https://doi.org/10.1007/s00200-021-00503-w

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 2023 https://doi.org/10.4134/CKMS.c210272 https://doi.org/10.4134/CKMS.c210272

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 2018 https://www.worldscientific.com/doi/10.1142/S0219498818502390 https://doi.org/10.1142/S0219498818502390

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 2018 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 2018 https://www.worldscientific.com/doi/10.1142/S1793830918500325 DOI: 10.1142/S1793830918500325

On λ-extensions of commutative rings Research Papers in Web of Science Listed Journals Journal Of Algebra And Its Applications 0219-4988 17 2018 https://www.worldscientific.com/doi/10.1142/S0219498818500639 DOI: 10.1142/S0219498818500639

Line Signed Graph of a Signed Total Graph Research Papers in Peer Reviewed Journals Electronic Notes in Discrete Mathematics 1571-0653 63 2017 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 2017 https://link.springer.com/article/10.1007/s13226-017-0224-9 DOI: 10.1007/s13226-017-0224-9

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 2016 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 2017 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 2015 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 2013 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 2009 https://www.emis.de/journals/BAG/vol.50/no.2/b50h2gau.pdf https://www.emis.de/journals/BAG/vol.50/no.2/b50h2gau.pdf

Maximally differential graded ideals in zero characteristic Research Papers in Web of Science Listed Journals Hiroshima Mathematical Journal 0018-2079 38 2008 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

Minimal Prime Submodules Research Papers in Peer Reviewed Journals International Journal of Algebra 1312-8868 2 2008 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

Prime Submodules in Multiplication Modules Research Papers in Peer Reviewed Journals International Journal of Algebra 1312-8868 1 2007 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

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 2023 https://www.sciencedirect.com/science/article/abs/pii/S1071579723001478 https://doi.org/10.1016/j.ffa.2023.102305

On minimal ring extensions Research Papers in Scopus Listed Journals Palestine Journal of Mathematics 2219-5688 12 (SI III) 2023 https://pjm.ppu.edu/sites/default/files/papers/PJM_12%28Special%20Issue%20III%29_2023_73_to_78.pdf
A note on maximal non-λ-rings Research Papers in Scopus Listed Journals Asian-European Journal of Mathematics 1793-5571 16 (10) 2023 https://www.worldscientific.com/doi/epdf/10.1142/S1793557123501747 10.1142/S1793557123501747

Publications other than journal articles
Title of Publication Type of Publication Publisher Role in Publication ISBN Number Year URL 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 2022 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 2022 https://doi.org/10.1007/978-981-19-3898-6 International
Research Projects
Title of the Project Project Type Year Of Sanction Output Start Date End Date
Automorphism Group & Crossing Number of Maximal Graphs 2013 Output published in the form of research papers 2013-10-21 2014-03-15
Hamiltonian property of Maximal Graphs and Chromatic Number of its line graph 2015 Output published in the form of research papers 2015-10-15 2016-10-14
Graph Theoretic properties of commutative rings 2012 Output published in the form of research papers 2012-06-03 2013-02-15
On some ring extensions 2019 Output published in the form of research papers 2019-03-14 2022-03-13
A generalization of almost integrally closed domains 2022 Outcome published in a research paper in Communications in Algebra (SCI journal) 2022-08-31 2023-02-23
To study the idealization of a module 2011 Survey Completed 2011-06-16 2012-02-15
Line Graphs of Maximal Graphs 2014 Output published in the form of research papers 2014-10-15 2015-09-30
Generalization of radical formula for modules 2011 Survey Completed 2011-01-31 2011-03-31
Maximal non-ϕ-Mori extensions Minor 2023 2023-09-01 2024-03-31
On ϕ-rings Major 2023 2023-09-26 2026-09-25
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