Rigid, Quasi-Rigid and Matrix Rings with ((?)over-bar, 0)-Multiplication

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

Country

Turkey

Related Organizations

Karamanoğlu Mehmetbey University
Turkey

Keywords

simple 0-multiplication, Simple 0-Multiplication, quasi sigma-rigid rings, Quasi Sigma-Rigid Rings

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