Тип публикации: статья из журнала
Год издания: 2024
Идентификатор DOI: 10.1134/s1055134424020032
Аннотация: We study the bipolar type of the composition for pairs of endomorphisms of a groupoid and introduce the notion of an alternating pair of endomorphisms. For such a pair, the bipolar type of the composition is represented in terms of the bipolar types of the initial endomorphisms. We suggest an explicit formula for this representatioПоказать полностьюn. We also introduce alternating and special alternating semigroups of endomorphisms of a groupoid so that every pair of endomorphisms from an alternating semigroup is alternating. For every groupoid, we prove that the base set of endomorphisms of the first type is a special alternating semigroup with identity (i.e., a monoid). For isomorphic groupoids $G$ and $G
Журнал: Siberian Advances in Mathematics
Выпуск журнала: Т. 34, № 2
Номера страниц: 105-115
ISSN журнала: 10551344
Место издания: Moscow
Издатель: Pleiades Publishing, Ltd.