All maximal unit-regular elements of Relhyp((m),(n))
| dc.contributor.author | Kunama, Pornpimol | |
| dc.contributor.author | Leeratanavalee, Sorasak | |
| dc.coverage.issue | 1 | cs |
| dc.coverage.volume | 12 | cs |
| dc.date.accessioned | 2023-06-26T09:02:09Z | |
| dc.date.available | 2023-06-26T09:02:09Z | |
| dc.date.issued | 2023 | cs |
| dc.description.abstract | Any relational hypersubstitution for algebraic systems of type (τ, τ′) = ((mi)i∈I , (nj )j∈J ) is a mapping which maps any mi-ary operation symbol to an mi-ary term and maps any nj-ary relational symbol to an nj-ary relational term preserving arities, where I, J are indexed sets. The set of all relational hypersubstitutions for algebraic systems of type (τ, τ′) together with a binary operation defined on the set and its identity forms a monoid. The properties of this structure are expressed by terms and formulas. Some algebraic properties of the monoid of a special type, especially the set of all unit-regular elements, were studied. In this paper, we determine all maximal unit-regular submonoids of this monoid of type ((m), (n)) for arbitrary natural numbers m, n ≥ 2. | en |
| dc.format | text | cs |
| dc.format.extent | 59-71 | cs |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | Mathematics for Applications. 2023 vol. 12, č. 1, s. 59-71. ISSN 1805-3629 | cs |
| dc.identifier.doi | 10.13164/ma.2023.04 | en |
| dc.identifier.issn | 1805-3629 | |
| dc.identifier.uri | http://hdl.handle.net/11012/210633 | |
| dc.language.iso | en | cs |
| dc.publisher | Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky | cs |
| dc.relation.ispartof | Mathematics for Applications | en |
| dc.relation.uri | http://ma.fme.vutbr.cz/archiv/12_1/ma_12_1_kunama_leeratanavalee_final.pdf | cs |
| dc.rights | © Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky | cs |
| dc.rights.access | openAccess | en |
| dc.subject | hypersubstitutions | en |
| dc.subject | algebraic systems | en |
| dc.subject | regular elements | en |
| dc.title | All maximal unit-regular elements of Relhyp((m),(n)) | en |
| dc.type.driver | article | en |
| dc.type.status | Peer-reviewed | en |
| dc.type.version | publishedVersion | en |
| eprints.affiliatedInstitution.department | Ústav matematiky | cs |
| eprints.affiliatedInstitution.faculty | Fakulta strojního inženýrství | cs |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- ma_12_1_kunama_leeratanavalee_final.pdf
- Size:
- 712.71 KB
- Format:
- Adobe Portable Document Format
- Description: