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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
