A characterization of n-cotilting and n-tilting modules

By Silvana Bazzoni. 2004

111 citations recorded by the source corpus.

Abstract We consider generalizations of the definitions of one-dimensional tilting and cotilting modules which agree with the classical notions of tilting and cotilting modules of finite homological dimension.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/7b0a40b91ed744c0e24e1495227bf2387bf38770

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In Algebra and Number Theory

In Discrete Mathematics and Combinatorics

In Geometry and Topology

Citations in the corpus

One Dimensional Tilting Modules are of Finite Type (2008, methodology): “For a characterization of n-tilting modules in terms of the class of modules generated by T and some classes of Ext-orthogonal modules, see [ 8 ].”
The Tilting–Cotilting Correspondence (2017, background): “–discr = A–mod). This observation goes back to [13, 15]. A tilting object T ∈ A–mod is then, by Corollary 3.6, precisely an inﬁnitely generated tilting module, whose deﬁnition goes back to the papers [2, 12]. That is, T is required to satisfy the conditions (i) (ﬁnite projective dimension) and (ii) ”