Generalized adequate rings
We introduce a new class of rings of elementary divisors which generalize adequate rings. We show that the problem of whether every commutative Bezout domain is a domain of elementary divisors reduces to the case where the domain contains only trivial adequate elements (namely, the identities of the...
Saved in:
| Date: | 1996 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1996
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5320 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511540787019776 |
|---|---|
| author | Zabavskii, B. V. Забавський, Б. В. |
| author_facet | Zabavskii, B. V. Забавський, Б. В. |
| author_sort | Zabavskii, B. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:30:10Z |
| description | We introduce a new class of rings of elementary divisors which generalize adequate rings. We show that the problem of whether every commutative Bezout domain is a domain of elementary divisors reduces to the case where the domain contains only trivial adequate elements (namely, the identities of the domain). |
| first_indexed | 2026-03-24T03:14:31Z |
| format | Article |
| fulltext |
0096
0097
0098
0099
|
| id | umjimathkievua-article-5320 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:14:31Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d1/c8de5b75c7225ca20e437c2cee8fbdd1.pdf |
| spelling | umjimathkievua-article-53202020-03-18T21:30:10Z Generalized adequate rings Узагальнені адекватні кільця Zabavskii, B. V. Забавський, Б. В. We introduce a new class of rings of elementary divisors which generalize adequate rings. We show that the problem of whether every commutative Bezout domain is a domain of elementary divisors reduces to the case where the domain contains only trivial adequate elements (namely, the identities of the domain). Введено новий клас кілець елементарних дільників, які узагальнюють адекватні кільця. Показано, що проблема: чи буде кожна комутативна область Безу областю елементарних дільників зводиться до випадку, коли в області лише тривіальні адекватні елементи (а саме, одиниці області). Institute of Mathematics, NAS of Ukraine 1996-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5320 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 4 (1996); 554-557 Український математичний журнал; Том 48 № 4 (1996); 554-557 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5320/7331 https://umj.imath.kiev.ua/index.php/umj/article/view/5320/7332 Copyright (c) 1996 Zabavskii B. V. |
| spellingShingle | Zabavskii, B. V. Забавський, Б. В. Generalized adequate rings |
| title | Generalized adequate rings |
| title_alt | Узагальнені адекватні кільця |
| title_full | Generalized adequate rings |
| title_fullStr | Generalized adequate rings |
| title_full_unstemmed | Generalized adequate rings |
| title_short | Generalized adequate rings |
| title_sort | generalized adequate rings |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5320 |
| work_keys_str_mv | AT zabavskiibv generalizedadequaterings AT zabavsʹkijbv generalizedadequaterings AT zabavskiibv uzagalʹneníadekvatníkílʹcâ AT zabavsʹkijbv uzagalʹneníadekvatníkílʹcâ |