Homological invariants of generalized bound path algebras

TL;DR

This paper investigates homological invariants of generalized bound path algebras, relating them to the invariants of component algebras, and explores conditions for these algebras to be shod or quasitilted.

Contribution

It provides new insights into the homological properties of generalized bound path algebras and establishes conditions for specific algebraic classifications.

Findings

Homological invariants are expressed in terms of component algebras.

Conditions for generalized path algebras to be shod or quasitilted are identified.

The study links algebraic structure with homological properties.

Abstract

We study some homological invariants of a given generalized bound path algebra in terms of those of the algebras used in its construction. We discuss the particular case where the algebra is a generalized path algebra and give conditions for those algebras to be shod or quasitilted.