Strongly hollow elements of commutative rings

被引：2
|
作者：
Rostami, Esmaeil [1 ,2 ]
机构：
[1] Shahid Bahonar Univ Kerman, Fac Math & Comp, Kerman, Iran
[2] Shahid Bahonar Univ Kerman, Mahani Math Res Ctr, Kerman, Iran
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2021年 / 20卷 / 06期
关键词：
Completely strongly hollow ideal; strongly hollow element; semi-pseudo strongly hollow representable ideal; completely strongly hollow representable ideal; FINITE DIRECT SUM; MAXIMAL SUBMODULES; PRIME IDEAL; MODULES;
D O I：
10.1142/S0219498821501073
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：23
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