On a conjecture posed by Benhissi and Koja

被引：1
|
作者：
Kim, Dong Kyu [1 ]
Lim, Jung Wook [1 ]
机构：
[1] Kyungpook Natl Univ, Coll Nat Sci, Dept Math, Daegu 41566, South Korea
来源：
COMMUNICATIONS IN ALGEBRA | 2020年 / 48卷 / 06期
基金：
新加坡国家研究基金会;
关键词：
Annihilator; generalized composite Hurwitz series ring; generalized composite Hurwitz polynomial ring; idempotent element; PS-ring; RINGS;
D O I：
10.1080/00927872.2020.1721733
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let = (R-n)(n >= 0) be an ascending chain of commutative rings with identity and (resp., ) the generalized composite Hurwitz series ring (resp., generalized composite Hurwitz polynomial ring). In this paper, we completely characterize when the rings and are PS-rings. More precisely, we show that and are always PS-rings. This is an affirmative answer to the question raised by Benhissi and Koja. Communicated by Silvana Bazzoni
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页码：2655 / 2661
页数：7
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