Distributive Lattices of M-Rectangular Divided-semirings-Reference-Cited by-同舟云学术

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Distributive Lattices of M-Rectangular Divided-semirings

Published:2013-04-03 Issue:02 Volume:20 Page:243-250
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Shao Yong¹,Zhao Xianzhong²

Affiliation:

1. Department of Mathematics, Northwest University, Xi'an, Shaanxi 710127, China

2. College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, China

Abstract

In this paper, we first introduce the so-called M-rectangular divided-semirings and distributive lattices of M-rectangular divided-semirings. We then discuss the relations between such a semiring and its multiplicative semigroup. Finally, we investigate subdirect product decompositions of these semirings and obtain some interesting results.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1005386713000217

Reference7 articles.

1. A Characterization of Semirings Which Are Subdirect Products of a Distributive Lattice and a Ring

2. The Semigroup Structure of Left Clifford Semirings

3. Varieties of idempotent semirings with commutative addition

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Subdirect product decompositions of additively regular semirings;Soft Computing;2023-09-21

2. Distributive lattices of Jacobson rings;Publications de l'Institut Math?matique (Belgrade);2016

3. ON STURDY FRAME OF ABSTRACT ALGEBRAS;PUBL I MATH-BEOGRAD;2015

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