The group ring ℤ(p)Cq and Ye’s theorem-Reference-Cited by-同舟云学术

The group ring ℤ(p)Cq and Ye’s theorem

Published:2018-05-23 Issue:06 Volume:17 Page:1850111
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

McGovern Warren Wm.¹

Affiliation:

1. H. L. Wilkes Honors College, Florida Atlantic University, 5753 Parkside Drive, Jupiter, FL 33458, USA

Abstract

We generalize Ye’s Theorem which states that the group ring [Formula: see text] is a semi-clean ring [Y. Ye, Semiclean rings, Comm. Algebra 31 (2003) 5609–5625]. The proof provided here is more efficient; it is less algorithmic but has the feature that the following statement is evident: for distinct primes [Formula: see text], the group ring [Formula: see text] is feebly clean if and only if the order of [Formula: see text] modulo [Formula: see text] is at least [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498818501116

Reference13 articles.

1. Weakly Clean Rings and Almost Clean Rings

2. COMMUTATIVE RINGS WHOSE ELEMENTS ARE A SUM OF A UNIT AND IDEMPOTENT

3. Semiclean rings and rings of continuous functions

4. STRONGLY CLEAN POWER SERIES RINGS

5. EXTENSIONS OF CLEAN RINGS

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