5 papers
A note on simple-minded systems and weakly simple-minded systems over self-injective algebras
Zhen Zhang
Let A be a self-injective algebra over an algebraically closed field. We study the relationship between simple-minded systems and weakly simple-minded systems in A-stmod. We presen…
A construction of simple-minded systems over domestic Brauer graph algebras II: the 1-domestic case
Zhen Zhang
Let A be a 1-domestic Brauer graph algebra. By covering theory and the characterization of simple-minded systems of 2-domestic Brauer graph algebras, we construct a family of objec…
On reduction and gluing technique of simple-minded systems over self-injective algebras
Zhen Zhang
Let A be a self-injective algebra over an algebraically closed field. We study reduction of simple-minded systems over stable module category A-stmod. We present a recollement and…
A construction of simple-minded systems over domestic Brauer graph algebras I: the 2-domestic case
Zhen Zhang
Let be a 2-domestic Brauer graph algebra. We present a construction for a family of objects on -$\stmod$ to be a simple-minded system and our construction provides all simpl…
Simple-minded systems and coherent rings
Zhen Zhang
Let be a finite dimensional algebra over an algebraically closed field. We present a relationship between simple-minded systems and coherent rings.