Affiliation:
1. Faculty of Mathematics and Computer & Mahani Mathematical Research, Center, Shahid Bahonar University of Kerman, Kerman, Iran
Abstract
In this paper, the notion of completely strongly hollow ideals (respectively, strongly hollow elements) of a commutative ring as a generalization of strongly hollow ideals (respectively, local idempotents) is introduced and some related properties are investigated. Also, some characteristics of completely strongly hollow ideals and strongly hollow elements of some special classes of commutative rings are given. Then, we consider the decomposition of nonzero ideals of a ring into a product (respectively, (finite) sum) of completely strongly hollow ideals. Some other results are obtained too.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
2 articles.
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