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Algebra and Discrete Mathematics, 2019, Volume 28, Issue 2, Pages 157–170 (Mi adm722)  
RESEARCH ARTICLE

On schurity of one-sided bimodule problems

Vyacheslav Babych, Nataliya Golovashchuk

Department of Mechanics and Mathematics, Taras Shevchenko National University of Kyiv, 64, Volodymyrs'ka St., Kyiv, Ukraine
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Abstract: We consider a class of normal bimodule problems satisfying some structure, triangularity and finiteness conditions (one-sided bimodule problems). We study the structure of non-schurian bimodule problems from our class and describe explicitly the minimal non-schurian one-sided bimodule problems.
Keywords: bimodule problem, quasi multiplicative basis, Tits quadratic form, representation, schurity.
Received: 06.10.2019
Revised: 19.11.2019
Document Type: Article
MSC: 16D90, 16P60, 15A04, 16G20, 15A63
Language: English
Citation: Vyacheslav Babych, Nataliya Golovashchuk, “On schurity of one-sided bimodule problems”, Algebra Discrete Math., 28:2 (2019), 157–170
Citation in format AMSBIB
\Bibitem{BabGol19}
\by Vyacheslav~Babych, Nataliya~Golovashchuk
\paper On schurity of one-sided bimodule problems
\jour Algebra Discrete Math.
\yr 2019
\vol 28
\issue 2
\pages 157--170
\mathnet{http://mi.mathnet.ru/adm722}
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