Algebra and Coding Theory / edited by A. Leroy and S. K. Jain.

Format:

Book

Conference/Event

Contributor:

Leroy, Andre (Andre Gerard), 1955- editor.

Jain, S. K., editor.

Conference Name:

International Conference on Noncommutative Rings and Their Applications (7th : 2021 : Lens, France), author.

Virtual Conference on Quadratic Forms, Rings and Codes (2021 : Lens, France)

Series:

Contemporary mathematics (American Mathematical Society) ; Volume 785.

Contemporary Mathematics Series ; Volume 785

Language:

English

Subjects (All):

Coding theory--Congresses.

Coding theory.

Algebra--Congresses.

Algebra.

Physical Description:

1 online resource (xiv, 253 pages) : illustrations

Edition:

First edition.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2023]

Summary:

"This volume contains the proceedings of the Virtual Conference on Noncommutative Rings and their Applications VII, in Honor of Tariq Rizvi, held from July 5– 7, 2021, and the Virtual Conference on Quadratic Forms, Rings and Codes, held on July 8, 2021, both of which were hosted by the Universit´ e d’Artois, Lens, France. The articles cover topics in commutative and noncommutative algebra and applications to coding theory. In some papers, applications of Frobenius rings, the skew group rings, and iterated Ore extensions to coding theory are discussed. Other papers discuss classical topics, such as Utumi rings, Baer rings, nil and nilpotent algebras, and Brauer groups. Still other articles are devoted to various aspects of the elementwise study for rings and modules. Lastly, this volume includes papers dealing with questions in homological algebra and lattice theory. The articles in this volume show the vivacity of the research of noncommutative rings and its influence on other subjects."--Provided by publisher.

Contents:

A note on checkable codes over Frobenius and quasi-Frobenius rings / R. R. de Araujo, A. L. M. Pereira, and C. Polcino Milies

Good classical and quantum codes from multi-twisted codes / Nuh Aydin, Thomas Guidotti, and Peihan Liu

Evaluation of iterated Ore polynomials and skew Reed-Muller codes / Nabil Bennenni and André Leroy

Identities of the algebra O ⊗ O / Guy Blachar, Louis H. Rowen, and Uzi Vishne

When Is Every Non Central-Unit A Sum of Two Nilpotents? / Simion Breaz and Yiqiang Zhou

Asymptotic Brauer p -dimension / Adam Chapman and Kelly McKinnie

Five theorems on Gorenstein global dimensions / Lars Winther Christensen, Sergio Estrada, and Peder Thompson

Quasi-Self-Dual Codes over a Non-Unital Ring of Order 4 / Steven T. Dougherty and Serap Şahinkaya

Codes from the Skew Ring M 2 ( F 2 ) ϕ G / S. T. Dougherty, Serap Şahinkaya, and Deniz Ustun

The underlying vector spaces of certain endomorphism rings / Gabriella D’Este

Algebraic structures from the point of view of complete multiplicative lattices / Alberto Facchini

ℤ₂ℤ₄-additive codes as codes over rings / Cristina Fernández-Córdoba and Steve Szabo

On Utumi rings and continuous regular Baer rings / Gangyong Lee, Cosmin S. Roman, Nguyen Khanh Tung, and Xiaoxiang Zhang

Matrices representable as product of conjugates of a singular matrix / S. K. Jain and André Leroy

Almost Projective Modules Over Non-Hereditary Algebras / Fatma Kaynarca, Gabriella D’Este, and Derya Keskin Tütüncü

On prime ideals with generalized derivations in rings with involution / On prime ideals with generalized derivations in rings with involution

On nil algebras and a problem of Passman concerning nilpotent free algebras / Jan Krempa

Rings with transitive chaining of idempotents / Xavier Mary

On Continuous Hulls of Rings and Modules / Jae Keol Park and S. Tariq Rizvi.

Notes:

"Virtual Conference in Honor of Tariq Rizvi Noncommutative Rings and their Applications VII July 5– 7, 2021 Université d’Artois, Lens, France Virtual Conference Quadratic Forms, Rings and Codes July 8, 2021 Université d’Artois, Lens, France."--Page 1 of cover.

Description based on print version record.

Includes bibliographical references.

ISBN:

9781470472986

1470472988

OCLC:

1381710685