ISSN: 2310-757X
Please use this identifier to cite or link to this item:
http://elar.urfu.ru/handle/10995/102876| Title: | Semiring identities of the Brandt monoid |
| Authors: | Volkov, M. V. |
| Issue Date: | 2021 |
| Publisher: | Birkhauser |
| Citation: | Volkov M. V. Semiring identities of the Brandt monoid / M. V. Volkov. — DOI 10.1007/s00012-021-00731-8 // Algebra Universalis. — 2021. — Vol. 82. — Iss. 3. — 42. |
| Abstract: | The 6-element Brandt monoid B21 admits a unique addition under which it becomes an additively idempotent semiring. We show that this addition is a term operation of B21 as an inverse semigroup. As a consequence, we exhibit an easy proof that the semiring identities of B21 are not finitely based. © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG. |
| Keywords: | ADDITIVELY IDEMPOTENT SEMIRING BRANDT MONOID FINITE BASIS PROBLEM INVERSE SEMIGROUP |
| URI: | http://elar.urfu.ru/handle/10995/102876 |
| Access: | info:eu-repo/semantics/openAccess |
| RSCI ID: | 46787404 |
| SCOPUS ID: | 85107230711 |
| WOS ID: | 000658169600001 |
| PURE ID: | 22101414 891e44fc-8b43-4cba-bd89-25c6a8371656 |
| ISSN: | 25240 |
| DOI: | 10.1007/s00012-021-00731-8 |
| metadata.dc.description.sponsorship: | Supported by the Ministry of Science and Higher Education of the Russian Federation (Ural Mathematical Center project No. 075-02-2020-1537/1) |
| Appears in Collections: | Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC |
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