Algebra and its Applications

This book discusses recent developments and the latest research in algebra and related topics. The book allows aspiring researchers to update their understanding of prime rings, generalized derivations, generalized semiderivations, regular semigroups, completely simple semigroups, module hulls, injective hulls, Baer modules, extending modules, local cohomology modules, orthogonal lattices, Banach algebras, multilinear polynomials, fuzzy ideals, Laurent power series, and Hilbert functions. All the contributing authors are leading international academicians and researchers in their respective fields. Most of the papers were presented at the international conference on Algebra and its Applications (ICAA-2014), held at Aligarh Muslim University, India, from December 15–17, 2014. The book also includes papers from mathematicians who couldn't attend the conference. The conference has emerged as a powerful forum offering researchers a venue to meet and discuss advances in algebraand its applications, inspiring further research directions. 

• Algebra
• Group theory
• Ring theory
• Semigroup
• Module theory
• Fuzzy ideals
• Laurent power series
• Hilbert function

• The Ohio State University, Department of Mathematics, The Ohio State University, LIMA, USA

  Syed Tariq Rizvi

• Aligarh Muslim University, Department of Mathematics, Aligarh Muslim University, Aligarh, India

  Asma Ali

• University of Messina, Department of Mathematics & Computer Sci University of Messina, Messina, Italy

  Vincenzo De Filippis

S. TARIQ RIZVI is Professor and the Coordinator of Department of Mathematics, the Ohio State University (OSU), Lima, USA. After receiving his Ph.D. from McMaster University (Canada) in 1981 and teaching at the University of Waterloo (Canada), he joined OSU in 1982. A recipient of the Outstanding Scholar Award from OSU and a Fulbright Fellow Award from the Fulbright Board, Washington, DC, Professor Rizvi is world renowned for his research contributions to the theory of rings and modules. He has numerous research papers to his credit published in several international journals of high repute, published a monograph by Birkhäuser and coedited five research volumes with other reputed publishers. He also serves on editorial boards of ten international journals, including two as a managing or executive editor. Professor Rizvi has given over 120 invited talks at several national and international conferences, many as a plenary speaker. He has regularly organized sessions at a number of conferences including at the American Mathematical Society conferences and the Ohio State-Denison Math Conference series. 

ASMA ALI is professor of mathematics at the Department of Mathematics, Aligarh Muslim University (AMU), Aligarh, India. She has made valuable contributions to mathematical research with publishing a number of papers in international journals of repute. She has been awarded the honor of recognition for the achievements as a successful professional at the International Women’s Day at AMU in 2015. She is also life member of many organizations including the American Mathematical Society, the Indian Mathematical Society and the Indian Science Congress. 

VINCENZO DE FILIPPIS is associate professor of mathematics at the University of Messina, Italy. He received the M.S. (1993) and Ph.D. (1999) degrees from the University of Messina. He is an author and coauthor of numerous professional publications and has been on research visits to several institutions in Europe, India, China and Turkey. His research interests include ring theory, theory of associative algebras, linear and multilinear algebra. His theoretical work is primarily aimed at studying the structure of algebras satisfying functional identities.

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