Vyacheslav Babych, Nataliya Golovashchuk, “On schurity of one-sided bimodule problems”, Algebra Discrete Math., 2019, Volume 28, Issue 2,Pages <nobr>157

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

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.

MSC: 16D90, 16P60, 15A04, 16G20, 15A63

Received: 06.10.2019
Revised: 19.11.2019

Language: English