Homological and Combinatorial Methods in Algebra

1. Front Matter

   Pages i-viii

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2. b-Symbol Distance Distribution of Repeated-Root Cyclic Codes

   • Hojjat Mostafanasab, Esra Sengelen Sevim

   Pages 1-7

3. Bhargava Rings Over Subsets

   • I. Al-Rasasi, L. Izelgue

   Pages 9-26

4. On Commutativity of Banach \(^*\)-Algebras with Derivation

   • Mohammad Ashraf, Bilal Ahmad Wani

   Pages 27-39

5. An Application of Linear Algebra to Image Compression

   • Khalid EL Asnaoui, Mohamed Ouhda, Brahim Aksasse, Mohammed Ouanan

   Pages 41-54

6. Intuitionistic Fuzzy Group With Extended Operations

   • S. Melliani, I. Bakhadach, L. S. Chadli

   Pages 55-65

7. Generalization of Quasi-modular Extensions

   • El Hassane Fliouet

   Pages 67-82

8. A Class of Finite 2-groups G with Every Automorphism Fixing \(G/\varPhi (G)\) Elementwise

   • Hossein Abdolzadeh, Reza Sabzchi

   Pages 83-88

9. Fuzzy Rings and Fuzzy Polynomial Rings

   • S. Melliani, I. Bakhadach, L. S. Chadli

   Pages 89-98

10. On (Completely) Weak* Rad-\(\oplus \)-Supplemented Modules

    • Manoj Kumar Patel

    Pages 99-104

11. When Is \(\mathrm {Int}(E,D)\) a Locally Free D–Module

    • Lahoucine Izelgue, Ali Tamoussit

    Pages 105-110

12. Pairs of Rings Whose All Intermediate Rings Are G–Rings

    • Lahoucine Izelgue, Omar Ouzzaouit

    Pages 111-115

13. Weakly Finite Conductor Property in Amalgamated Algebra

    • Haitham El Alaoui

    Pages 117-126

14. Coherence in Bi-amalgamated Algebras Along Ideals

    • Mounir El Ouarrachi, Najib Mahdou

    Pages 127-138

15. 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, 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.

• integer-valued polynomials
• Combinatorial Algebra
• Algebraic Geometry
• Homological algebra
• Multiplicative ideal theory
• b-symbol distance distribution
• repeated-root cyclic codes
• Bhargava rings over subsets
• 4th SAA 2016
• Seminar on Algebra and its Applications
• linear algebra
• G-rings
• set of intermediate Artinian subrings
• Algebra
• amalgamated algebra

• Department of Mathematics, American University of Sharjah, Sharjah, United Arab Emirates

  Ayman Badawi

• Faculty of Mathematical Science, Isfahan University of Technology, Isfahan, Iran

  Mohammad Reza Vedadi

• School of Mathematics, Statistics, and Computer Science, University of Tehran, Tehran, Iran

  Siamak Yassemi

• Department of Mathematics and Applications, University of Mohaghegh Ardabili, Ardabil, Iran

  Ahmad Yousefian Darani

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