Homological and Combinatorial Methods in Algebra: SAA 4, Ardabil, Iran, August 2016 (Springer Proceedings in Mathematics & Statistics Book 228)

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, including 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 the seminar’s research achievements and new contributions to the field. Front Matter ....Pages i-viii b-Symbol Distance Distribution of Repeated-Root Cyclic Codes (Hojjat Mostafanasab, Esra Sengelen Sevim)....Pages 1-7 Bhargava Rings Over Subsets (I. Al-Rasasi, L. Izelgue)....Pages 9-26 On Commutativity of Banach \(^*\)-Algebras with Derivation (Mohammad Ashraf, Bilal Ahmad Wani)....Pages 27-39 An Application of Linear Algebra to Image Compression (Khalid EL Asnaoui, Mohamed Ouhda, Brahim Aksasse, Mohammed Ouanan)....Pages 41-54 Intuitionistic Fuzzy Group With Extended Operations (S. Melliani, I. Bakhadach, L. S. Chadli)....Pages 55-65 Generalization of Quasi-modular Extensions (El Hassane Fliouet)....Pages 67-82 A Class of Finite 2-groups G with Every Automorphism Fixing \(G/\varPhi (G)\) Elementwise (Hossein Abdolzadeh, Reza Sabzchi)....Pages 83-88 Fuzzy Rings and Fuzzy Polynomial Rings (S. Melliani, I. Bakhadach, L. S. Chadli)....Pages 89-98 On (Completely) Weak* Rad-\(\oplus \)-Supplemented Modules (Manoj Kumar Patel)....Pages 99-104 When Is \(\mathrm {Int}(E,D)\) a Locally Free D–Module (Lahoucine Izelgue, Ali Tamoussit)....Pages 105-110 Pairs of Rings Whose All Intermediate Rings Are G–Rings (Lahoucine Izelgue, Omar Ouzzaouit)....Pages 111-115 Weakly Finite Conductor Property in Amalgamated Algebra (Haitham El Alaoui)....Pages 117-126 Coherence in Bi-amalgamated Algebras Along Ideals (Mounir El Ouarrachi, Najib Mahdou)....Pages 127-138 On the Set of Intermediate Artinian Subrings (Driss Karim)....Pages 139-149 "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." -- Prové de l'editor "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"--Back cover