논문KCI 등재
On weakly left quasi-commutative rings
대한수학회 (The Korean Mathematical Society)|2017.07|대한수학회논문집 (Communications of the KMS)|제32권 제3호|pp. 503-509
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We in this note consider a generalized ring theoretic property of quasi-commutative rings in relation with powers. We will use the terminology of {\it weakly left quasi-commutative} for the class of rings satisfying such property. The properties and examples are basically investigated in the procedure of studying idempotents and nilpotent elements.
Abstract
We in this note consider a generalized ring theoretic property of quasi-commutative rings in relation with powers. We will use the terminology of {\it weakly left quasi-commutative} for the class of rings satisfying such property. The properties and examples are basically investigated in the procedure of studying idempotents and nilpotent elements.
참고문헌 (8)
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- G. F. Birkenmeier, "Completely prime ideals and associated radicals", Proc. Biennial Ohio State-Denison Conference 1992, pp.102~129 (1993), World Scientific
- V. Camillo, "Nilpotent ideals in polynomial and power series rings", Proc. Amer. Math. Soc, 138(5), pp.1607~1619 (2010)
- C. Huh, "p.p. rings and generalized p.p. rings", J. Pure Appl. Algebra, 167(1), pp.37~52 (2002)
- C. Huh, "Examples of strongly π-regular rings", J. Pure Appl. Algebra, 189(1-3), pp.195~210 (2004)
- C. Huh, "Armendariz rings and semicommutative ring", Comm. Algebra, 30(2), pp.751~761 (2002)
- 정다운, "On quasi-commutative rings", 대한수학회지, 53(2), pp.475~488 (2016), 대한수학회
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