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періодичних видань НАН України
Interassociativity and three-element doppelsemigroups
Репозиторій DSpace/Manakin
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Interassociativity and three-element doppelsemigroups
Інший ID:
2010 MSC: 08B20, 20M10, 20M50, 17A30.
Посилання:
Interassociativity and three-element doppelsemigroups / V. Gavrylkiv, D. Rendziak // Algebra and Discrete Mathematics. — 2019. — Vol. 28, № 2. — С. 224–247. — Бібліогр.: 20 назв. — англ.
Підтримка:
The authors would like to express their sincere thanks to the anonymous referee for a very careful reading of the paper and for all its insightful comments and valuable suggestions, which improve considerably the presentation of this paper.
Дата:
2019
Переглядів:
181
Завантажень:
75
Анотація:
In the paper we characterize all interassociates of some non-inverse semigroups and describe up to isomorphism all three-element (strong) doppelsemigroups and their automorphism groups. We prove that there exist 75 pairwise non-isomorphic three-element doppelsemigroups among which 41 doppelsemigroups are commutative. Non-commutative doppelsemigroups are divided into 17 pairs of dual doppelsemigroups. Also up to isomorphism there are 65 strong doppelsemigroups of order 3, and all non-strong doppelsemigroups are not commutative.
