СЕМИНАР „АЛГЕБРА И ЛОГИКА”

Следващото заседание на семинара ще се проведе на 17 ноември 2017 година (петък) от 13:00 часа в зала 578 на ИМИ - БАН. Доклад на тема

n-TUPLE SEMIGROUPS

ще изнесе Anatolii V. ZHUCHOK, Luhansk Taras Shevchenko National University, Starobilsk, Ukraine.

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Резюме. An n-tuple semigroup is an algebraic system consisting of a set with n binary associative operations satisfying certain equations. n-Tuple semigroups play a prominent role in the theory of non-associative rings and algebras. They are a generalization of semigroups and have relationships with such algebraic structures as interassociative semigroups, restrictive bisemigroups, doppelsemigroups and trioids.

Examples of n-tuple semigroups are given and the independence of axioms of an n-tuple semigroup is established. Elements of the variety theory of n-tuple semigroups are outlined. n-Tuple semigroups which are free in the variety of n-tuple semigroups are constructed and the least congruences on free n-tuple semigroups are investigated. The free product of n-tuple semigroups is presented and its structure is described. Automorphism groups of constructed free algebras are characterized.

От секция "Алгебра и логика"
http://www.math.bas.bg/algebra/seminarAiL