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Rings which satisfy the Property of Inserting Regular Elements at Zero Products
- Authors
- Kim, Hong Kee; Kwak, Tai Keun; Lee, Yang; Seo, Yeonsook
- Issue Date
- Jun-2020
- Publisher
- 경북대학교 자연과학대학 수학과
- Keywords
- regular-IFP ring; regular element; IFP ring; polynomial ring; generalized reduced ring
- Citation
- Kyungpook Mathematical Journal, v.60, no.2, pp 307 - 318
- Pages
- 12
- Indexed
- SCOPUS
ESCI
KCI
- Journal Title
- Kyungpook Mathematical Journal
- Volume
- 60
- Number
- 2
- Start Page
- 307
- End Page
- 318
- ISSN
- 1225-6951
0454-8124
- Abstract
- This article concerns the class of rings which satisfy the property of inserting regular elements at zero products, and rings with such property are called regular IFP. We study the structure of regular-IFP rings in relation to various ring properties that play roles in noncommutative ring theory. We investigate conditions under which the regular-IFPness pass to polynomial rings, and equivalent conditions to the regular-IFPness.
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