About the Book
This proceedings is a collection of research papers on algebra and related topics, most of which were presented at the International Conference on Algebra and Related Topics with Applications (ICARTA-19), held at the Department of Mathematics, Aligarh Muslim University, Aligarh, India, from 17–19 December 2019. It covers a wide range of topics on ring theory, coding theory, cryptography, and graph theory. In addition to highlighting the latest research being done in algebra, the book also addresses the abundant topics of algebra particularly semigroups, groups, derivations in rings, rings and modules, group rings, matrix algebra, triangular algebra, polynomial rings and lattice theory. Apart from these topics, the book also discusses applications in cryptology, coding theory, and graph theory.
Table of Contents:
A. Abbasi, M. R. Mozumder and A. Jabeen, Characterization of b-generalized derivations in rings with involution.- M. S. Akhtar and M. A. Ansari, Jordan generalized n-derivations of unital algebras containing idempotents.- R. Alam, Variational analysis of approximate defective eigenvalues.- A. Ali, Structure of prime near rings with multiplicative generalized derivations.- R. A. Khaled Assaad, w-fp-projective modules and dimension.- L. Carini, Vincenzo De Filippis, Central values of X-generalized skew derivations on right ideals in prime rings.- H. Chimal-Dzul, Commutative polynomial rings which are principal ideal rings.- Vincenzo De Filippis, F. Rania, Two remarks on generalized skew derivations in prime rings.- U. Dempwolff, Dimensional dual hyperovals-An updated survey.- A. Gaur and R. Kumar, A note on FMS modules and FCP extensions.- S. Huang, Generalized derivations of ∗- prime rings.- P. Kanwar, M. Khatkar and R. K. Sharma, Basic one sided ideals of Leavitt path algebras over commutative rings.- A. N. Khan, S. Ali, A. Abbasi, M. Ayedh, On certain ∗-differntial identities in prime rings with involution.- M. S. Khan, On b-generalized derivations in prime rings.- D. Kumar, B. Bhushan, Commutativity of ∗-prime rings with generalized derivation on Jordan ideals.- S Michael, P.G. Romeo, Local subsemigroups and variants of some classes of semigroups.- H. EL Mir, B. Nejjar, L. Oukhtite, On traces of permuting nderivations on prime ideals.- S. K. Nimbhorkar, Deepali B. Banswal, Closed weak supplemented lattices.- J. K. Park, S. T. Rizvi, , On Compatible Ring Structures of the Injective Hull of a Ring.- M. Arif Raza, M. S. Khan, N. ur Rehman, On Commutators Involving Derivations and Automorphisms in Prime Rings.- J. Roseline, M. K. Patel, Modules invariant under clean endomorphisms of their injective hulls.- A. Sabharwal, R. Sharma, P. Yadav, A note on central idempotents in finite group rings of symmetric groups.- G. Scudo, ordan product preserving generalized skew derivations on Lie ideals.- M. A. Siddeeque, Ali Ahmed Abdullah, N. Khan, Prime rings with generalized derivations and power values on Lie ideals.- J. Vukman, I. Kosi-Ulbl, On certain identity related to Jordan ∗-derivations in standard operator algebras.- S. Ghorpade, R. Ludhani, On The Purity of Resolutions of Stanley-Reisner Rings Associated to Reed-Muller Codes.- G. Mohammad, N. Khan, A. Khan, Skew Constacyclic codes over Fq + vFq.- Om Prakash, H. Islam, A. Ghosh, yclic and LCD codes over a finite commutative semi-local ring.- M. Ashraf, M. Kumar, Some recent results on the graphs of finite dimensional vector spaces: A survey.- P. Aydogdu, J. Diaz Boils, Sergio R. LopezPermouth, Two Value Graph Magma Algebras and Amenability.- A. Badawi, Yasmine El-Ashi, Graph of linear transformations over R.- S. Pirzada, Bilal A. Rather, Rezwan Ul Shaban, M. Imran Bhat, On distance Laplacian (signless) eigenvalues of commuting graphs of dihedral and dicyclic groups.- V. Rabikka, T. Asir, M. Evangeline Pratibha, Eigenvalues and wiener index of graphs over rings: A survey.- N. Ur Rehman, Mohd. Nazim, Junaid Nisar, On a new extension of annihilating-ideal graph of commutative rings.- K. Selvakumar, J. Beautlin Jemi, Nadeem ur Rehman, Spectrum of the 3-zero-divisor hypergraph of some classes of local rings.- T. Tamizh Chelvam, Complement of the generalized total graph of commutative rings-A survey.
