An Equivalence Between Ring F and Infinite Matrix Subring over F
Citation:
Xu Yonghua(许永华).An Equivalence Between Ring F and Infinite Matrix Subring over F[J].Chinese Annals of Mathematics B,1990,11(1):66~69
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Authors:
Xu Yonghua(许永华);
Abstract:
In 1974 Fuller^[1] characterized the equivalences between certain subeategories of the category of modules over a ring and the category of unital modules over a ring with identity. In this paper the author uses this equivalence to extend the well-known theorem:$F\thickapprox M-n(F)$, where F is a ring with identity and M_n(F) is the ring of matrices over F.