Abstract
Our understanding of affine complete and functionally complete algebras and varieties of affine complete algebras is closely related to our understanding of arithmetical algebras and varieties. Because of this we first survey basic results about arithmetical algebras and varieties, emphasizing finite algebras and finitely generated varieties. The main outlines of the theory of congruence distributive affine complete varieties are discussed and then attention is focused on arithmetical affine complete varieties, emphasizing some recent results describing their structure. In particular we shall examine properties of finite, arithmetical, affine complete algebras having no proper subalgebras (FACS algebras) since any affine complete arithmetical variety of finite type is generated by such an algebra. We shall present some interesting sufficient conditions for a FACS algebra to generate an arithmetical (and hence affine complete) variety.
Sign-in/Register to access full text options 
Free) 
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 call
