On the Representation of Compact Nilpotent Rings by Triangular Matrices |
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Authors: | Mihail Ursul Adela Tripe |
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Affiliation: | 1.Department of Mathematics and Informatics,University of Oradea,Oradea,Romania |
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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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