108 citations · 180 across the 17 of their papers we have counts for
24 papers
Contravariant finiteness and iterated strong tilting
Birge Huisgen-Zimmermann, Zahra Nazemian, Manuel Saorin
Let -mod be the category of finitely generated left modules of finite projective dimension over a basic Artin algebra . We develop an applicable cri…
Symmetry of the Definition of Degeneration in Triangulated Categories
Manuel Saorín, Alexander Zimmermann
Module structures of an algebra on a fixed finite dimensional vector space form an algebraic variety. Isomorphism classes correspond to orbits of the action of an algebraic group o…
Silting Theory in triangulated categories with coproducts
Pedro Nicolas, Manuel Saorin, Alexandra Zvonareva
We introduce the notion of noncompact (partial) silting and (partial) tilting sets and objects in any triangulated category D with arbitrary (set-indexed) coproducts. We show that…
An axiomatic approach for degenerations in triangulated categories
Manuel Saorin, Alexander Zimmermann
We generalise Yoshino's definition of a degeneration of two Cohen Macaulay modules to a definition of degeneration between two objects in a triangulated category. We derive some na…
Pseudo-Frobenius graded algebras with enough idempotents
Estefanía Andreu Juan, Manuel Saorín
We introduce and study the notion of pseudo-Frobenius graded algebra with enough idempotents, showing that it follows the pattern of the classical concept of pseudo-Frobenius (PF)…
Classical derived functors as fully faithful embeddings
Pedro Nicolas, Manuel Saorin
Given associative unital algebras and and a complex of bi\-modules, we give necessary and sufficient conditions for the total derived functors, $\Rh_A(T^\…