논문KCI 등재
Nil-clean rings of nilpotency index at most two with application to involution-clean rings
대한수학회 (The Korean Mathematical Society)|2018.07|대한수학회논문집 (Communications of the KMS)|제33권 제3호|pp. 751-757
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A ring is nil-clean if every element is a sum of a nilpotent and an idempotent, and a ring is involution-clean if every element is a sum of an involution and an idempotent. In this paper, a description of nil-clean rings of nilpotency index at most $2$ is obtained, and is applied to improve a known result on involution-clean rings.
Abstract
A ring is nil-clean if every element is a sum of a nilpotent and an idempotent, and a ring is involution-clean if every element is a sum of an involution and an idempotent. In this paper, a description of nil-clean rings of nilpotency index at most $2$ is obtained, and is applied to improve a known result on involution-clean rings.
참고문헌 (6)
- E. P. Armendariz, "On semiprime rings of bounded index", Proc. Amer. Math. Soc., 85(2), pp.146~148 (1982)[DOI]
- K. I. Beidar, "On rings with zero total", Beitrage Algebra Geom., 38(2), pp.233~239 (1997)
- Peter V. Danchev, "Invo-clean unital rings", 대한수학회논문집, 32(1), pp.19~27 (2017), 대한수학회
- A. J. Diesl, "Nil clean rings", J. Algebra, 383, pp.197~211 (2013)[DOI]
- T. Kosan, "When is every matrix over a division ring a sum of an idempotent and a nilpotent?", Linear Algebra Appl., 450, pp.7~12 (2014)[DOI]
- M. T. Kosan, "Nil-clean and strongly nil-clean rings", J. Pure Appl. Algebra, 220(2), pp.633~646 (2016)[DOI]
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