Negative clean rings

被引：0
|
作者：
Calugareanu, Grigore [1 ]
Pop, Horia F. [2 ]
机构：
[1] Babes Bolyai Univ, Dept Math, Str Kogalniceanu 1, Cluj Napoca, Romania
[2] Babes Bolyai Univ, Dept Comp Sci, Str Kogalniceanu 1, Cluj Napoca, Romania
来源：
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2022年 / 30卷 / 02期
关键词：
clean ring; negative clean ring; strongly clean element; 2; x; matrix; ELEMENTS;
D O I：
10.2478/auom-2022-0019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A ring is called negative clean if the negative (i.e., the additive inverse) of each clean element is also clean. Clean rings are negative clean. In this paper, we develop the theory of the negative rings, with special emphasis on finding the clean matrices which have (or have not) clean negatives. Many explicit results are proved for 2 x 2 matrices and some hard to solve quadratic Diophantive equations are displayed.
引用
收藏
页码：63 / 89
页数：27
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