On computable subgroups of the group of all unitriangular matrices over a ring
The problems of existence and uniqueness of computable numberings are fundamental in theory of computably numbered groups. In connection with the development of the theory of algorithms a study of the problems of computability of important classes of algebraic systems are currently relevant. Groups...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Academician Ye.A. Buketov Karaganda University
2017-06-01
|
| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
| Subjects: | |
| Online Access: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/161 |
| _version_ | 1797372587161944064 |
|---|---|
| author | R.K. Tyulyubergenev |
| author_facet | R.K. Tyulyubergenev |
| author_sort | R.K. Tyulyubergenev |
| collection | DOAJ |
| description |
The problems of existence and uniqueness of computable numberings are fundamental in theory of computably numbered groups. In connection with the development of the theory of algorithms a study of the problems of computability of important classes of algebraic systems are currently relevant. Groups of unitriangular matrices over the ring are a classic representative of the class of nilpotent groups and have numerous applications both in group theory and in its applications. In this paper we obtain a criterion of computability of subgroups of the group of all unitriangular matrices UTn(K) over a computable associative ring with unity.
|
| first_indexed | 2024-03-08T18:38:00Z |
| format | Article |
| id | doaj.art-6b69a9a3ff074350b2e6bfce3777e941 |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:38:00Z |
| publishDate | 2017-06-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-6b69a9a3ff074350b2e6bfce3777e9412023-12-29T10:21:39ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112017-06-0186210.31489/2017m2/74-78On computable subgroups of the group of all unitriangular matrices over a ringR.K. Tyulyubergenev The problems of existence and uniqueness of computable numberings are fundamental in theory of computably numbered groups. In connection with the development of the theory of algorithms a study of the problems of computability of important classes of algebraic systems are currently relevant. Groups of unitriangular matrices over the ring are a classic representative of the class of nilpotent groups and have numerous applications both in group theory and in its applications. In this paper we obtain a criterion of computability of subgroups of the group of all unitriangular matrices UTn(K) over a computable associative ring with unity. http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/161numberinggroup of unitriangular matricesconstructive groupnilpotent subgroupsubgrouprational number |
| spellingShingle | R.K. Tyulyubergenev On computable subgroups of the group of all unitriangular matrices over a ring Қарағанды университетінің хабаршысы. Математика сериясы numbering group of unitriangular matrices constructive group nilpotent subgroup subgroup rational number |
| title | On computable subgroups of the group of all unitriangular matrices over a ring |
| title_full | On computable subgroups of the group of all unitriangular matrices over a ring |
| title_fullStr | On computable subgroups of the group of all unitriangular matrices over a ring |
| title_full_unstemmed | On computable subgroups of the group of all unitriangular matrices over a ring |
| title_short | On computable subgroups of the group of all unitriangular matrices over a ring |
| title_sort | on computable subgroups of the group of all unitriangular matrices over a ring |
| topic | numbering group of unitriangular matrices constructive group nilpotent subgroup subgroup rational number |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/161 |
| work_keys_str_mv | AT rktyulyubergenev oncomputablesubgroupsofthegroupofallunitriangularmatricesoveraring |