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Skew power series extensions of $\alpha$-rigid p.p.-rings

Ahmad Moussavi|Ebrahim Hashemi
대한수학회 (The Korean Mathematical Society)|2004.11|대한수학회보 (Bulletin of the KMS)|제41권 제4호|pp. 657-664

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Abstract

We investigate skew power series of alpha-rigid p.p.-rings,where alpha is an endomorphism of a ring R which is notassumed to be surjective. For an alpha-rigid ring R,R[[x;alpha]] is right p.p., if and only ifR[[x,x^{-1};alpha]] is right p.p., if and only if R is rightp.p. and any countable family of idempotents in R has a join inI(R).

참고문헌 (18)

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관련 논문AI추천

Nilradicals of skew power series rings곽태근, 김남균, 홍찬용대한수학회 · 대한수학회보2004 · 제41권 제3호Generalized semicommutative rings and their extensions곽태근, Abdullah Harmanci, Muhittin Baser대한수학회 · 대한수학회보2008 · 제45권 제2호Skew polynomial rings over $\sigma$-quasi-Baer and $\sigma$-principally quasi-Baer rings한준철대한수학회 · 대한수학회지2005 · 제42권 제1호On commutativity of skew polynomials at zero이양, 곽태근, Fatma Kaynarca, Hai Lan Jin대한수학회 · 대한수학회보2017 · 제54권 제1호Nilradicals of power series rings and nil powerseries rings이양, 허찬, 김은정, 김철언, 김홍기대한수학회 · 대한수학회지2005 · 제42권 제5호Skew Laurent polynomial extensions of Baer and p.p.-ringsAhmad Moussavi, Alireza R. Nasr-Isfahani대한수학회 · 대한수학회보2009 · 제46권 제6호

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