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- Title
Semigroups of endomorphisms of some infinite monounary algebras.
- Authors
Pozdnyakova, I.
- Abstract
We consider a certain class of infinite monounary algebras that do not contain cyclic and metamonogenic subalgebras. We show that a monounary algebra of this class is determined up to isomorphism by its semigroup of endomorphisms. It is also proved that, in the semigroup of endomorphisms of every monounary algebra of this class, there exists a densely imbedded ideal, whose cardinal number is equal to the order of this monounary algebra, and which also determines it.
- Subjects
SEMIGROUPS (Algebra); ENDOMORPHISMS; INFINITY (Mathematics); UNARY algebras; ISOMORPHISM (Mathematics); CARDINAL numbers; IDEALS (Algebra)
- Publication
Journal of Mathematical Sciences, 2013, Vol 190, Issue 5, p658
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-013-1278-9