Many applications of fusion categories, particularly in physics, require the associators or F F -symbols to be known explicitly. Finding these matrices typically involves solving vast systems coupled polynomial equations large numbers variables. In this work, we present an algorithm that allows...

We construct nonisogenous simple ordinary abelian varieties over an algebraic closure of a finite field with isomorphic endomorphism algebras.

We characterize the modules of infinite projective dimension over endomorphism algebras Oppermann–Thomas cluster-tilting objects X in (n+2)-angulated categories (

The endomorphism semigroup for a class of commutative semigroups, called special semigroups, will be studied their structures will be determined in some important cases. AMS Classification : 20

A monic endomorphism of a structure A can be extended to an automorphism uf a larger structure A We investigate which properties are preserved by this process.