On lattice isomorphisms of orthodox semigroups
Two semigroups are lattice isomorphic if the lattices of their subsemigroups are isomorphic, and a class of semigroups is lattice closed if it contains every semigroup which is lattice isomorphic to some semigroup from that class. An orthodox semigroup is a regular semigroup whose idempotents form a...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
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2021
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| Sorozat: | Acta scientiarum mathematicarum
87 No. 3-4 |
| Kulcsszavak: | Algebra, Matematika |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-020-558-7 |
| Online Access: | http://acta.bibl.u-szeged.hu/75846 |
| Tartalmi kivonat: | Two semigroups are lattice isomorphic if the lattices of their subsemigroups are isomorphic, and a class of semigroups is lattice closed if it contains every semigroup which is lattice isomorphic to some semigroup from that class. An orthodox semigroup is a regular semigroup whose idempotents form a subsemigroup. We prove that the class of all orthodox semigroups in which every nonidempotent element has infinite order is lattice closed. |
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| Terjedelem/Fizikai jellemzők: | 367-379 |
| ISSN: | 2064-8316 |