On finitistic dimension of stratified algebras
Volodymyr Mazorchuk
TL;DR
This survey reviews the current knowledge, recent estimates, and open problems concerning the finitistic dimension of stratified algebras, highlighting progress and gaps in understanding this algebraic property.
Contribution
It compiles and discusses existing results, recent estimates, and open questions about the finitistic dimension in stratified algebras.
Findings
Summarizes known results on finitistic dimension.
Provides recent estimates for specific classes.
Lists open problems in the field.
Abstract
In this survey we discuss the results on the finitistic dimension of various stratified algebras. We describe what is already known, present some recent estimates, and list some open problems.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Rings, Modules, and Algebras