논문KCI 등재
A proof on power-Armendariz rings
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참고문헌
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초록
Power-Armendariz is a unifying concept of Armendarizand commutative. Let R be a ring and I be a proper ideal of R suchthat R/Iis a power-Armendariz ring. Han et al. proved that if Iis a reduced ring without identity then R is power-Armendariz. Wend another direct proof of this result to see the concrete forms ofvarious kinds of subsets appearing in the process.
Abstract
Power-Armendariz is a unifying concept of Armendarizand commutative. Let R be a ring and I be a proper ideal of R suchthat R/Iis a power-Armendariz ring. Han et al. proved that if Iis a reduced ring without identity then R is power-Armendariz. Wend another direct proof of this result to see the concrete forms ofvarious kinds of subsets appearing in the process.
참고문헌 (4)
- E.P. Armendariz, "A note on extensions of Baer and P.P.-rings", J. Austral. Math. Soc, 18, pp.470~473 (1974)
- J. Han, "On powers of coeffcients of zero-dividing polynomials, (submitted)", ~
- Young Cheol Jeon, "On weak Armendariz rings", 대한수학회보, 46(1), pp.135~146 (2009), 대한수학회
- M.B. Rege, "Armendariz rings", Proc. Japan Acad. Ser. A Math. Sci, 73, pp.14~17 (1997)
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