References & Citations
Mathematics > Commutative Algebra
Title: Silting complexes and Gorenstein projective modules
(Submitted on 23 Oct 2021 (v1), last revised 28 Dec 2021 (this version, v2))
Abstract: We introduce Gorenstein silting modules (resp. complexes), and give the relation with the usual silting modules (resp. complexes). We show that Gorenstein silting modules are the module-theoretic counterpart of 2-term Gorenstein silting complexes; and partial Gorenstein silting modules are in bijection with \tau_{G}-rigid modules for finite dimensional algebras of finite CM-type. We also give the relation between 2-term Gorenstein silting complexes, t-structures and torsion pair in module categories; and generalise the classical Brenner-Butler theorem to this setting; and characterise the global dimension of endomorphism algebras of 2-term Gorenstein silting complexes over an algebra A by terms of the Gorenstein global dimension of A.
Submission history
From: Nan Gao [view email][v1] Sat, 23 Oct 2021 07:40:08 GMT (16kb)
[v2] Tue, 28 Dec 2021 13:53:27 GMT (16kb)
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