5 papers
Killing of supports on graded algebras
R. Martinez Villa, M. Saorin
Killing of supports along subsets of a group and regradings along certain maps of groups are studied, in the context of group-graded algeb…
Abelian exact subcategories closed under predecessors
Ibrahim Assem, Manuel Saorin
In the category of finitely generated modules over an artinian ring, we classify all the abelian exact subcategories closed under predecessors or, equivalently, all the split torsi…
On semiprimary rings of finite global dimension
Manuel Saorin
Suppose that is a semiprimary ring satisfying one of the two conditions: 1) its Yoneda ring is generated in finite degrees; 2) its Loewy length is less or equal than three. We…
The first cohomology group of the trivial extension of a monomial algebra
Claude Cibils, Maria Julia Redondo, Manuel Saorin
Given a finite--dimensional monomial algebra we consider the trivial extension and provide formulae, depending on the characteristic of the field, for the dimensions of th…
Geometry of chain complexes and outer automorphisms under derived equivalence
Birge Huisgen-Zimmermann, Manuel Saorin
The two main theorems proved here are as follows: If is a finite dimensional algebra over an algebraically closed field, the identity component of the algebraic group of outer…