Homological and Combinatorial Methods in Algebra

Based on the 4th Seminar on Algebra and its Applications organized by the University of Mohaghegh Ardabili, this volume highlights recent developments and trends in algebra and its applications. Selected and peer reviewed, the contributions in this volume cover areas that have flourished in the last few decades such as homological algebra, combinatorial algebra, module theory and linear algebra over rings, multiplicative ideal theory, and integer-valued polynomials. Held biennially since 2010, SAA introduces Iranian faculty and graduate students to important ideas in the mainstream of algebra and opens channels of communication between Iranian mathematicians and algebraists from around the globe to facilitate collaborative research. Ideal for graduate students and researchers in the field, these proceedings present the best of seminar's research achievements and new contributions to the field.

Contenu
Preface.- Table of Contents.- b-symbol distance distribution of repeated-root cyclic codes (Hojjat Mostafanasab and Esra Sengelen Sevim).- Bhargava rings over subsets (I. Al-Rasasi and L. Izelgue).- On commutativity of Banach -algebras with derivation (Mohammad Ashraf And Bilal Ahmad Wani).- An application of linear algebra to image compression (EL Asnaoui Khalid,Ouhda Mohamed, Aksasse Brahim and Ouanan Mohammed).- Intuitionistic fuzzy group with extended operations (S. Melliani, I. Bakhadach and L.S. Chadli).- Generalization of quasi-modular extensions (El Hassane Fliouet).- A class of nite 2-groups G with every automorphism xing G=(G) elementwise (Hossein Abdolzadeh and Reza Sabzchi).- Fuzzy rings and fuzzy polynomial rings (S. Melliani, I. Bakhadach and L.S. Chadli).- On (completely) weak Rad--supplemented Modules (Manoj Kumar Patel).- When is Int(E;D) a locally free D-module (Lahoucine Izelgue and Ali Tamoussit).- Pairs of rings whose all intermediate rings are G-Rings (Lahoucine Izelgue and Omar Ouzzaouit).- Weakly nite conductor property in amalgamated algebra (Haitham El Alaoui).- Coherence in bi-amalgamated algebras along ideals (Mounir El Ouarrachi and Najib Mahdou).- On the set of intermediate Artinian subrings (Driss Karim).