Rigid, quasi-rigid and matrix rings with (??,0)-multiplication

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2014 Turkey English Publisher:???????????????? ???????????????????? ???????????????????? ?? ???????????????? ?????? ??????????????

Authors: Abdioğlu, Cihat; Şahinkaya, S.; Kör, A.;

handle: 11492/9392 , 11492/12073 , 11492/1871

Rigid, quasi-rigid and matrix rings with (??,0)-multiplication

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Abstract

Let R be a ring with an endomorphism ??. We introduce (??, 0)-multiplication which is a generalization of the simple 0- multiplication. It is proved that for arbitrary positive integers m ??? n and n ??? 2, R[x; ??] is a reduced ring if and only if Sn,m(R) is a ring with (??, 0)-multiplication.

Country

Turkey

Related Organizations

Karamanoğlu Mehmetbey University
Turkey

Keywords

Simple 0-Multiplication, Simple 0 - Multiplication, Quasi ?-Rigid Rings, Quasi ?-rigid rings, Quasi σ-Rigid Rings, Simple 0-multiplication

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