Open AccessGalois coverings of one-sided bimodule problems
Author(s) -
Vyacheslav Babych,
Nataliya Golovashchuk
Publication year - 2021
Publication title -
trudy meždunarodnogo geometričeskogo centra/pracì mìžnarodnogo geometričnogo centru
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.124
H-Index - 2
eISSN - 2409-8906
pISSN - 2072-9812
DOI - 10.15673/tmgc.v14i2.1768
Subject(s) - bimodule , mathematics , multiplicative function , pure mathematics , representation (politics) , construct (python library) , class (philosophy) , algebra over a field , computer science , artificial intelligence , mathematical analysis , programming language , politics , political science , law
Applying geometric methods of 2-dimensional cell complex theory, we construct a Galois covering of a bimodule problem satisfying some structure, triangularity and finiteness conditions in order to describe the objects of finite representation type. Each admitted bimodule problem A is endowed with a quasi multiplicative basis. The main result shows that for a problem from the considered class having some finiteness restrictions and the schurian universal covering A', either A is schurian, or its basic bigraph contains a dotted loop, or it has a standard minimal non-schurian bimodule subproblem.