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On the Representation of Compact Nilpotent Rings by Triangular Matrices
Authors:Mihail Ursul  Adela Tripe
Affiliation:1.Department of Mathematics and Informatics,University of Oradea,Oradea,Romania
Abstract:We prove that every compact nilpotent ring R of characteristic p > 0 can be embedded in a ring of upper triangular matrices over a compact commutative ring. Furthermore, we prove that every compact topologically nilpotent ring R of characteristic p > 0, is embedded in a ring of infinite triangular matrices over mathbbFpw(R)mathbb{F}_{p}^{w(R)}.
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