Algebra and Its Applications: Proceedings of the International Conference held at Aligarh Muslim University, 2016

Book

Algebra and Its Applications

Proceedings of the International Conference held at Aligarh Muslim University, 2016

Edited by: Mohammad Ashraf , Vincenzo De Filippis and Syed Tariq Rizvi
With contributions by: Ali Asma , Argaç Nurcan , Deepali B. Banswal , Abdelhakim Chillali , Karima Alaoui Ismaili , Abdul Nadim Khan , Sajad Ahmad Pary , Ram Parkash Sharma , Akira Ueda , Nihan Baydar Yarbil , Omar Ait Zemzami , Husain Alhazmi , Shakir Ali , Thangaraj Asir , Abdelkarim Boua , Luisa Carini , Thirugnanam Tamizh Chelvam , Nadeem Ahmad Dar , Basudeb Dhara , Karuna Tulshiram Gaikwad , My Abdallah Idrissi , Noor Mohammad Khan , Tsiu-kwen Lee , Sergio Roberto Lopez-Permouth , Ahsan Mahboob , Najib Mahdou , Abdellah Mamouni , Hidetoshi Marubayashi , Meenakshi , Ghulam Mohammad , Shriram Nimbhorkar , Lahcen Oukhtite , Jae Keol Park , Nick Pilewski , Panthallor Rajan Sreejamol , Md. Hamidur Rahaman , Arangath Raghavan Rajan , Mohd Arif Raza , Nadeem Ur Rehman , Parackal Govindan Romeo , Masahisa Sato , Meenakshi Prahladrao Wasadikar , Robert Wisbauer and Mostafa Zeriouh

Language: English

Published/Copyright: 2018

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This book is in the series

De Gruyter Proceedings in Mathematics

About this book

This volume showcases mostly the contributions presented at the International Conference in Algebra and Its Applications held at the Aligarh Muslim University, Aligarh, India during November 12-14, 2016. Refereed by renowned experts in the field, this wide-ranging collection of works presents the state of the art in the field of algebra and its applications covering topics such as derivations in rings, category theory, Baer module theory, coding theory, graph theory, semi-group theory, HNP rings, Leavitt path algebras, generalized matrix algebras, Nakayama conjecture, near ring theory and lattice theory. All of the contributing authors are leading international academicians and researchers in their respective fields.

Contents
On Structure of ∗-Prime Rings with Generalized Derivation
A characterization of additive mappings in rings with involution|
Skew constacyclic codes over Fq + vFq + v²Fq
Generalized total graphs of commutative rings: A survey
Differential conditions for which near-rings are commutative rings
Generalized Skew Derivations satisfying the second Posner’s theorem on Lie ideals
Generalized Skew-Derivations on Lie Ideals in Prime Rings
On generalized derivations and commutativity of prime rings with involution
On (n, d)-Krull property in amalgamated algebra
Pure ideals in ordered Γ-semigroups
Projective ideals of differential polynomial rings over HNP rings
Additive central m-power skew-commuting maps on semiprime rings
A Note on CESS-Lattices
Properties Inherited by Direct Sums of Copies of a Module
Modules witnessing that a Leavitt path algebra is directly infinite
Inductive Groupoids and Normal Categories of Regular Semigroups
Actions of generalized derivations in Rings and Banach Algebras
Proper Categories and Their Duals
On Nakayama Conjecture and related conjectures-Review
On construction of global actions for partial actions
On 2-absorbing and Weakly 2-absorbing Ideals in Product Lattices
Separability in algebra and category theory
Annihilators of power values of generalized skew derivations on Lie ideals
Generalized derivations on prime rings with involution

A collection of up-to-date research contributions in algebra and its applications.
Refereed by renowned experts in the field.
Covers wide-ranging topics such as rings, modules, and algebras.

Author / Editor information

Mohammad Ashraf, Aligarh Muslim U., India; Vincenzo De Filippis, U. of Messina, Italy; Syed Tariq Rizvi, Ohio State U., USA.

Topics

Mathematics Algebra and Number Theory

Frontmatter Publicly Available Download PDF	I
Preface Requires Authentication Unlicensed Licensed	V
Contents Publicly Available Download PDF	VII
On structure of ∗-prime rings with generalized derivation Asma Ali and Md. Hamidur Rahaman Requires Authentication Unlicensed Licensed	1
A characterization of additive mappings in rings with involution Shakir Ali, Husain Alhazmi, Nadeem Ahmad Dar and Abdul Nadim Khan Requires Authentication Unlicensed Licensed	11
Skew constacyclic codes over F_q+ vF_q+ v²F_q Mohammad Ashraf and Mohammad Ghulam Requires Authentication Unlicensed Licensed	25
Generalized total graphs of commutative rings: a survey Thangaraj Asir and Thirugnanam Tamizh Chelvam Requires Authentication Unlicensed Licensed	37
Differential conditions for which near-rings are commutative rings Boua Abdelkarim, Chillali Abdelhakim and Zeriouh Mostafa Requires Authentication Unlicensed Licensed	55
Generalized skew derivations satisfying the second posner’s theorem on lie ideals Luisa Carini and Vincenzo De Filippis Requires Authentication Unlicensed Licensed	65
Generalized skew-derivations on lie ideals in prime rings Basudeb Dhara Requires Authentication Unlicensed Licensed	81
On generalized derivations and commutativity of prime rings with involution Moulay Abdallah Idrissi, Abdellah Mamouni and Lahcen Oukhtite Requires Authentication Unlicensed Licensed	91
On (n, d)-krull property in amalgamated algebra Karima Alaoui Ismaili and Najib Mahdou Requires Authentication Unlicensed Licensed	101
Pure ideals in ordered Γ-semigroups Noor Mohammad Khan and Ahsan Mahboob Requires Authentication Unlicensed Licensed	111
Projective ideals of differential polynomial rings over hnp rings Hidetoshi Marubayashi and Akira Ueda Requires Authentication Unlicensed Licensed	121
Additive central m-power skew-commuting maps on semiprime rings Tsiu-Kwen Lee Requires Authentication Unlicensed Licensed	135
A note on cess-lattices Shriram Khanderao Nimbhorkar and Deepali Brijlal Banswal Requires Authentication Unlicensed Licensed	151
Properties inherited by direct sums of copies of a module Jae Keol Park and Syed Tariq Rizvi Requires Authentication Unlicensed Licensed	163
Modules witnessing that a leavitt path algebra is directly infinite Sergio Roberto López-Permouth and Nick Pilewski Requires Authentication Unlicensed Licensed	181
Inductive groupoids and normal categories of regular semigroups Arangath Raghavan Rajan Requires Authentication Unlicensed Licensed	193
Actions of generalized derivations in rings and banach algebras Nadeem ur Rehman, Mohd Arif Raza and Sajad Ahmad Pary Requires Authentication Unlicensed Licensed	201
Proper categories and their duals Parackal Govindan Romeo and Sreejamol Panthallor Rajan Requires Authentication Unlicensed Licensed	215
On nakayama conjecture and related conjectures-review Masahisa Sato Requires Authentication Unlicensed Licensed	227
On construction of global actions for partial actions Sharma Ram Parkash and Meenakshi Ram Parkash Requires Authentication Unlicensed Licensed	243
On 2-absorbing and weakly 2-absorbing ideals in product lattices Meenakshi Pralhadrao Wasadikar and Karuna Tulshiram Gaikwad Requires Authentication Unlicensed Licensed	253
Separability in algebra and category theory Robert Wisbauer Requires Authentication Unlicensed Licensed	265
Annihilators of power values of generalized skew derivations on lie ideals Nihan Baydar Yarbil and Nurcan Argaç Requires Authentication Unlicensed Licensed	307
Generalized derivations on prime rings with involution Omar Ait Zemzami, Abdellah Mamouni and Lahcen Oukhtite Requires Authentication Unlicensed Licensed	317

Publishing information

Pages and Images/Illustrations in book

eBook published on:

August 6, 2018

eBook ISBN:

9783110542400

Hardcover published on:

August 6, 2018

Hardcover ISBN:

9783110540925

Pages and Images/Illustrations in book

Front matter:

8

Main content:

331

Tables:

10

https://doi.org/10.1515/9783110542400

eBook ISBN: 9783110542400

Hardcover ISBN: 9783110540925

Keywords for this book

Algebra; Ideal; Modul; Ring; Gruppe

Audience(s) for this book

Researchers and graduate students in algebra and its applications.

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Algebra and Its Applications

Overview

About this book

Author / Editor information

Topics

Table of contents

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