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Quasisemigroup
UK
/ˌkwɑːzɪˈsɛmɪɡrʊp/
US
/ˌkwɑːzɪˈsɛmɪɡrʌp/
Translation of "quasisemigroup" into Russian
quasisemigroup
Noun
UK
/ˌkwɑːzɪˈsɛmɪɡrʊp/
US
/ˌkwɑːzɪˈsɛmɪɡrʌp/
quasisemigroup
quasisemigroups pl
A quasisemigroup is a generalization of a semigroup.
Квазисемигруппа является обобщением полугруппы.
Definitions
quasisemigroup
Noun
UK
/ˌkwɑːzɪˈsɛmɪɡrʊp/
US
/ˌkwɑːzɪˈsɛmɪɡrʌp/
In abstract algebra, a set equipped with a binary operation that generalizes a semigroup by dropping the requirement of associativity (additional properties such as cancellation may be assumed by some authors).
Because the operation is not necessarily associative, a quasisemigroup may fail to satisfy many of the familiar semigroup theorems.
quasisemigroup
Adjective
UK
/ˌkwɑːzɪˈsɛmɪɡrʊp/
US
/ˌkwɑːzɪˈsɛmɪɡrʌp/
Of or relating to a quasisemigroup.
The authors introduce several quasisemigroup identities inspired by loop theory.