Almost zip Bezout domain
J. Zelmanowitz introduced the concept of a ring, which we call a zip ring. In this paper we characterize a commutative Bezout domain whose finite homomorphic images are zip rings modulo its nilradical.
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| Format: | Article |
| Language: | deu |
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Ivan Franko National University of Lviv
2020-06-01
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| Series: | Математичні Студії |
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| Online Access: | http://matstud.org.ua/ojs/index.php/matstud/article/view/82 |
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| author | O.M. Romaniv B.V. Zabavsky |
| author_facet | O.M. Romaniv B.V. Zabavsky |
| author_sort | O.M. Romaniv |
| collection | DOAJ |
| description | J. Zelmanowitz introduced the concept of a ring, which we call a zip ring. In this paper we characterize a commutative Bezout domain whose finite homomorphic images are zip rings modulo its nilradical. |
| format | Article |
| id | doaj-art-cb93b6accb794a04b4d8f805116d679d |
| institution | DOAJ |
| issn | 1027-4634 2411-0620 |
| language | deu |
| publishDate | 2020-06-01 |
| publisher | Ivan Franko National University of Lviv |
| record_format | Article |
| series | Математичні Студії |
| spelling | doaj-art-cb93b6accb794a04b4d8f805116d679d2025-08-20T03:17:40ZdeuIvan Franko National University of LvivМатематичні Студії1027-46342411-06202020-06-0153211511810.30970/ms.53.2.115-11882Almost zip Bezout domainO.M. Romaniv0B.V. Zabavsky1Ivan Franko National University of LvivIvan Franko National University of LvivJ. Zelmanowitz introduced the concept of a ring, which we call a zip ring. In this paper we characterize a commutative Bezout domain whose finite homomorphic images are zip rings modulo its nilradical.http://matstud.org.ua/ojs/index.php/matstud/article/view/82bezout ringelementary divisor ringalmost zip ringkasch ringj-noetherian ringgoldie ringmaximal idealprime ideal |
| spellingShingle | O.M. Romaniv B.V. Zabavsky Almost zip Bezout domain Математичні Студії bezout ring elementary divisor ring almost zip ring kasch ring j-noetherian ring goldie ring maximal ideal prime ideal |
| title | Almost zip Bezout domain |
| title_full | Almost zip Bezout domain |
| title_fullStr | Almost zip Bezout domain |
| title_full_unstemmed | Almost zip Bezout domain |
| title_short | Almost zip Bezout domain |
| title_sort | almost zip bezout domain |
| topic | bezout ring elementary divisor ring almost zip ring kasch ring j-noetherian ring goldie ring maximal ideal prime ideal |
| url | http://matstud.org.ua/ojs/index.php/matstud/article/view/82 |
| work_keys_str_mv | AT omromaniv almostzipbezoutdomain AT bvzabavsky almostzipbezoutdomain |