We introduce the concept of a universal quantum linear semigroupoid (UQSGd), which is a
weak bialgebra that coacts on a (not necessarily connected) graded algebra A universally …

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Quivers play an important role in the representation theory of algebras, with a key ingredient
being the path algebra and the preprojective algebra. Quiver grassmannians are varieties of …

The theory of path algebras is usually circunscripted to the study of representations, usually
linked to finite graphs. In our work, we focus on studying the structure of path algebras over a …

In this paper we introduce a new class of $ K $-algebras associated with quivers. Given any
finite chain $\mathbf {K} _r: K= K_0\subseteq K_1\subseteq...\subseteq K_r $ of fields and a …

Inner Poisson algebras on a given associative algebra are introduced and characterized,
which gives a way of constructing non-commutative Poisson structures. Applying these to …

A Leavitt labelled path algebra over a commutative unital ring is associated with a labelled
space, generalizing Leavitt path algebras associated with graphs and ultragraphs as well as …

To every directed graph E one can associate a graph inverse semigroup G (E), where
elements roughly correspond to possible paths in E. These semigroups generalize …

We apply the notion of hyperfinite families of modules to the wild path algebras of
generalised Kronecker quivers $ k\Theta (d) $. While the preprojective and postinjective …

It is known that the ideals of a Leavitt path algebra LK (E) generated by P l (E), by P c (E), or
by P ec (E) are invariant under isomorphism. Though the ideal generated by P b∞(E) is not …