Standard algebras

Multiplicative bijective maps on standard operator algebras

Algebras from Standard Constructions

On non-standard graded algebras

Positively graded algebras are fairly natural objects which are arduous to be studied. In this article we query quotients of non-standard graded polynomial rings with combinatorial and commutative algebra methods.

multiplicative bijective maps on standard operator algebras

Based Algebras and Standard Bases for Quasi-hereditary Algebras

Quasi-hereditary algebras can be viewed as a Lie theory approach to the theory of finite dimensional algebras. Motivated by the existence of certain nice bases for representations of semisimple Lie algebras and algebraic groups, we will construct in this paper nice bases for (split) quasi-hereditary algebras and characterize them using these bases. We first introduce the notion of a standardly ...