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arXiv · 1705.09079

Artinian bimodule with quasi-Frobenius bimodule of translations

Alexander A. Nechaev·Vadim N. Tsypyschev
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Abstract

Let M be an (A,B)-bi-module over left and right respectively Artinian rings. Let C be a multiplication ring of bi-module M, i.e. the ring C is generated by images of a and B in End(M). Let Z be a center of C. Bi-module M over rings C and Z we call a bi-module of translation of (A,B)-bi-module M. We investigate a relationship between the fact that (A,B)-bi-module M is quasi-Frobenius and the fact that (C,Z)-bi-module M is quasi-Frobenius.

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Alexander A. Nechaev, Vadim N. Tsypyschev. 2017-05-25. Artinian bimodule with quasi-Frobenius bimodule of translations. https://arxiv.org/abs/1705.09079

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