Split bounded extension algebras and Han's conjecture

TL;DR

This paper proves that the class of finite dimensional algebras satisfying Han's conjecture remains closed when extended via split bounded extensions, advancing understanding of algebraic structures related to the conjecture.

Contribution

It establishes that split bounded extensions preserve the property of satisfying Han's conjecture for finite dimensional algebras.

Findings

The class of finite dimensional algebras satisfying Han's conjecture is closed under split bounded extensions.

Provides new insights into the structure of algebras related to Han's conjecture.

Advances the theoretical framework surrounding bounded extension algebras.

Abstract

A main purpose of this paper is to prove that the class of finite dimensional algebras which verify Han's conjecture is closed under split bounded extensions.