Factorizations of elements in local rings and semilocal rings of finite type-Reference-Cited by-同舟云学术

Factorizations of elements in local rings and semilocal rings of finite type

Published:2019-11-15 Issue:12 Volume:19 Page:2050234
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Arroyo Paniagua María José¹,Facchini Alberto²,Tolooei Yaser³

Affiliation:

1. Departamento de Matemáticas, Universidad Autónoma Metropolitana, Unidad Iztapalapa, Ciudad de México, 09340, México

2. Dipartimento di Matematica, Università di Padova, Padova 35121, Italy

3. Department of Mathematics, Faculty of Science, Razi University, Kermanshah 67149-67346, Iran

Abstract

Factorizations of ring elements are described by finite chains of principal ideals. We use the description of cyclically presented modules over local rings to study factorization of elements in local rings.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498820502345

Reference14 articles.

1. SOME REMARKS ON CATEGORIES OF MODULES MODULO MORPHISMS WITH ESSENTIAL KERNEL OR SUPERFLUOUS IMAGE

2. Equivalence of diagonal matrices over local rings

3. Cohomology of small categories

4. On a category of chains of modules whose endomorphism rings have at most 2nmaximal ideals

5. On a category of extensions whose endomorphism rings have at most four maximal ideals

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