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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2019.1
- 수록면
- 1,069 - 1,078 (10page)
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초록· 키워드
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Let $R$ be a ring with identity and $P(R)$ denote the prime radical of $R$. An element $r$ of a ring $R$ is called strongly $P$-clean, if there exists an idempotent $e$ such that $r-e=p \in P(R)$ with $ep=pe$. In this paper, we determine necessary and sufficient conditions for an element of a trivial Morita context to be strongly $P$-clean.
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참고문헌 (16)
참고문헌 신청
Gautam Borooah / 2007 / Strongly clean triangular matrix rings over local rings / Journal of Algebra 312(2):773~797
Gautam Borooah / 2008 / Strongly clean matrix rings over commutative local rings / Journal of Pure and Applied Algebra 212(1):281~296
M. B. Calci / Prime Structures in a Morita Context
Huanyin Chen / 2013 / ON 2 × 2 STRONGLY CLEAN MATRICES / 대한수학회보 50(1):125~134
Huanyin Chen / 2014 / STRONGLY P-CLEAN RINGS AND MATRICES / International Electronic Journal of Algebra 15(15):116~116
Gautam Borooah / 2008 / Strongly clean matrix rings over commutative local rings / Journal of Pure and Applied Algebra 212(1):281~296
M. B. Calci / Prime Structures in a Morita Context
Huanyin Chen / 2013 / ON 2 × 2 STRONGLY CLEAN MATRICES / 대한수학회보 50(1):125~134
Huanyin Chen / 2014 / STRONGLY P-CLEAN RINGS AND MATRICES / International Electronic Journal of Algebra 15(15):116~116
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