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We, in this paper, study the commutativity of skew polynomials at zero as a generalization of an $\alpha$-rigid ring, introducing the concept of strongly skew reversibility. A ring $R$ is be said to be \emph{strongly $\alpha$-skew reversible} if the skew polynomial ring $R[x;\alpha]$ is reversible. We examine some characterizations and extensions of strongly $\alpha$-skew reversible rings in relation with several ring theoretic properties which have roles in ring theory.
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참고문헌 (22)
참고문헌 신청
A. B. Singh / 2010 / Strongly reversible rings relative to monoid / J. Pure Appl. Math 63 (1) : 1 ~ 7
Alireza R. Nasr-Isfahani / 2009 / Skew Laurent polynomial extensions of Baer and p.p.-rings / 대한수학회보 46 (6) : 1041 ~ 1050
C. Huh / 2002 / Armendariz rings and semicommutative rings / Comm. Algebra 30 (2) : 751 ~ 761
C. Y. Hong / 2000 / Ore extensions of Baer and p.p.-rings / J. Pure Appl. Algebra 151 (3) : 215 ~ 226
C. Y. Hong / 2003 / On skew Armendariz rings / Comm. Algebra 31 (1) : 103 ~ 122
Alireza R. Nasr-Isfahani / 2009 / Skew Laurent polynomial extensions of Baer and p.p.-rings / 대한수학회보 46 (6) : 1041 ~ 1050
C. Huh / 2002 / Armendariz rings and semicommutative rings / Comm. Algebra 30 (2) : 751 ~ 761
C. Y. Hong / 2000 / Ore extensions of Baer and p.p.-rings / J. Pure Appl. Algebra 151 (3) : 215 ~ 226
C. Y. Hong / 2003 / On skew Armendariz rings / Comm. Algebra 31 (1) : 103 ~ 122
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