Images of formal matrices of elements of matrix groups over associative rings
The paper substantiates the image by formal matrices of some elements of linear groups over associative rings by using the properties of redundant and fixed modules. The form of images of elements of linear groups with respect to their homomorphisms in the group of automorphisms of modules over asso...
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State University “Uzhhorod National University”
2020-06-01
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Series: | Науковий вісник Ужгородського університету. Серія: Математика і інформатика |
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Online Access: | http://visnyk-math.uzhnu.edu.ua/article/view/206423 |
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doaj-b3798e215bd7471187a97454a501b0092021-09-02T11:01:57ZengState University “Uzhhorod National University”Науковий вісник Ужгородського університету. Серія: Математика і інформатика2616-77002020-06-0101(36)162910.24144/2616-7700.2020.1(36).16-29206423Images of formal matrices of elements of matrix groups over associative ringsВ. М. Петечук0Ю. В. Петечук1Закарпатський iнститут пiслядипломної педагогiчної освiти, УжгородЗакарпатський угорський iнститут iменi Ференца Ракоцi II, Берегово,The paper substantiates the image by formal matrices of some elements of linear groups over associative rings by using the properties of redundant and fixed modules. The form of images of elements of linear groups with respect to their homomorphisms in the group of automorphisms of modules over associative rings of 1, in which there are reversible elements 2 or 3, is shown. Using this approach, the authors described homomorphisms with the condition (*) of matrix groups over associative rings with 1. In particular, the isomorphisms of matrix groups over associative rings are homomorphisms with condition (*).http://visnyk-math.uzhnu.edu.ua/article/view/206423нерухомi та лишковi модулi, розклад модулiвiдемпотентиформальнi матрицiтрансвекцiїкомутаторигомоморфiзми лiнiйних груп над кiльцями |
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DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
В. М. Петечук Ю. В. Петечук |
spellingShingle |
В. М. Петечук Ю. В. Петечук Images of formal matrices of elements of matrix groups over associative rings Науковий вісник Ужгородського університету. Серія: Математика і інформатика нерухомi та лишковi модулi, розклад модулiв iдемпотенти формальнi матрицi трансвекцiї комутатори гомоморфiзми лiнiйних груп над кiльцями |
author_facet |
В. М. Петечук Ю. В. Петечук |
author_sort |
В. М. Петечук |
title |
Images of formal matrices of elements of matrix groups over associative rings |
title_short |
Images of formal matrices of elements of matrix groups over associative rings |
title_full |
Images of formal matrices of elements of matrix groups over associative rings |
title_fullStr |
Images of formal matrices of elements of matrix groups over associative rings |
title_full_unstemmed |
Images of formal matrices of elements of matrix groups over associative rings |
title_sort |
images of formal matrices of elements of matrix groups over associative rings |
publisher |
State University “Uzhhorod National University” |
series |
Науковий вісник Ужгородського університету. Серія: Математика і інформатика |
issn |
2616-7700 |
publishDate |
2020-06-01 |
description |
The paper substantiates the image by formal matrices of some elements of linear groups over associative rings by using the properties of redundant and fixed modules. The form of images of elements of linear groups with respect to their homomorphisms in the group of automorphisms of modules over associative rings of 1, in which there are reversible elements 2 or 3, is shown.
Using this approach, the authors described homomorphisms with the condition (*) of matrix groups over associative rings with 1. In particular, the isomorphisms of matrix groups over associative rings are homomorphisms with condition (*). |
topic |
нерухомi та лишковi модулi, розклад модулiв iдемпотенти формальнi матрицi трансвекцiї комутатори гомоморфiзми лiнiйних груп над кiльцями |
url |
http://visnyk-math.uzhnu.edu.ua/article/view/206423 |
work_keys_str_mv |
AT vmpetečuk imagesofformalmatricesofelementsofmatrixgroupsoverassociativerings AT ûvpetečuk imagesofformalmatricesofelementsofmatrixgroupsoverassociativerings |
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1721176231819345920 |