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Full Description
The book intends to be a collection of research papers on algebra and related topics, most of which were presented at the international "Workshop on Associative Rings and Algebras with additional structures (WARA22)". The purpose of the workshop WARA22 was to present the current state of the art both in the Theory of Lie structures of associative rings and algebras and in the Theory of functional identities in rings. The conference has emerged as a powerful forum offering researchers the opportunity to meet, get to know each other and discuss advances in ring theory, inspiring further research directions. The main topics covered refer to rings with involution, Lie and Jordan structures, rings and algebras arising under various constructions, modules, bimodules and ideals in associative algebras, behavior of derivations, automorphisms and other kinds of additive maps in rings and algebras. All the contributing authors are leading international academicians and researchers in their respective fields. The papers cover a wide range of topics in ring theory, group theory, matrix algebra and graph theory. The book will serve both the specialist looking for the latest results and the novice looking for the appropriate references to access the study and understanding of the results presented here.
Contents
G. S. Sandhu, B. Dhara, S. Ghosh , A note on multiplicative (generalized)-derivations and left sided ideals in semiprime rings.- Nirbhay Kumar, Avanish Kumar Chaturved, On weekly generalized reversible rings.- Sk Aziz, Om Prakash, Additivity of multiplicative b-generalized (skew) derivations.- M. O. Alshammari, F. Ali, Specht Modules and Representations of Symmetric Group.- B. Dhara, S. Kar, K. Singh, Commutativity Theorems on Prime Rings with Generalized Derivations.- A. Abbasi, M. R. Mozumder, Commutativity of σ-prime rings with generalized derivation.- M. S. Pandey, A. Pandey, A note on b-generalized skew derivations on prime rings.- N. ur Rehman, S. A. Mir, M. Nazim, Analysis of some topological indices over the weakly zero-divisor graph of the ring Zp x Zq x Zr.- Md Arshad Madni, M. S. Akhtar, M. R. Mozumder, A study of central identities equipped with skew Lie product involving generalized derivations.- M. R. Mozumder, N. Parveen, W. Ahmed, Some results on left-sided ideals of semiprime rings with Symmetric (α, β) n-derivations.- A. Ali, K. Kumar, M. Tasleem, Central power values of generalized derivation and structure of unital Banach algebra.- A. Pandey, B. Prajapati, Generalized skew derivations of order 2 in prime rings with multilinear polynomials.- Zhi-Cheng Deng, F. Wei, Local and 2-local Lie-type Derivations of Operator Algebras on Banach Spaces.- F. Wei, Jing-Xiong Xu, The Noncommutative Singer-Wermer Conjecture and Generalized Skew Derivations.- M. Ashraf, M. A. Ansari, Md Shamim Akhter, Non-global multiplicative Lie triple derivations on rings.- A. Z. Ansari, F. Shujat, Algebraic identities on prime and semiprime rings.- G. Scudo, Generalized derivations with periodic values on prime rings.- L. Carini, V. De Filippis, On a functional identity involving power values of generalized skew derivations on Lie ideals.- M. Andaloro, Generalized Skew Derivations with periodic values on Lie ideals.- M. Bera, B. Dhara, Generalized skew-derivations actingon multilinear polynomials in prime rings.- M. Salahuddin Khan, S. Ali, A. Nadim Khan, M. Ayedh, Results on b-generalized derivations in rings.- F. Shujat, A. Z. Ansari, Results on generalized skew bi-semiderivation in prime rings.- F. Ammendolia, Commuting iterates of generalized derivations on Lie ideals.- M. A. Raza, T. Al-Sobhi, Non-linear mappings preserving product m ∗n + n ∗m on factor von Neumann algebras.- F. Rania, A commutativity condition for semiprime rings with generalized skew derivations.- Faez A. Alqarni, Nadeem ur Rehman, Hafedh M. Alnoghashi, Results on Generalized Derivations in Prime Rings with Involution.- M. Ashraf, N. Khan, W. Rehman, G. Mohammad, Quantum codes over an extension of Z4.- N. Parveen, Product of Traces of Permuting n-Derivations on Prime and Semiprime Ideals of a Ring.
