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On Armendariz Rings and Matrix Rings with Simple 0-Multiplication
Authors:Wenkang Wang  E. R. Puczyłowski  Lian Li
Affiliation:1. School of Computer Science and Information Engineering , Northwest Minorities University , Lanzhou, China jswwk@xbmu.edu.cn;3. Institute of Mathematics , University of Warsaw , Warsaw, Poland;4. School of Mathematics and Statistics , Lanzhou University , Lanzhou, China
Abstract:
We introduce and study subrings with simple 0-multiplication of matrix rings in the context of Armendariz rings. In this way we extend several known results in the area.
Keywords:Armendariz ring  Matrix ring with simple 0-multiplication  Reduced ring  Upper triangular matrix ring
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