Relative singularity categories with respect to gorenstein flat modules
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DOI: 10.1007/s10114-017-6566-8
Abstract: Let R be a right coherent ring and Db(R-Mod) the bounded derived category of left R-modules. Denote by $${D^b}{\left( {R - Mod} \right)_{\widehat {\left[ {GF,C} \right]}}}$$Db(R−Mod)[GF,C]^ the subcategory of Db(R-Mod) consisting of all complexes with… read more here.
Keywords: gorenstein flat; category; mod; left modules ... See more keywords
Tate homology with respect to cotorsion pairs
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DOI: 10.1080/00927872.2017.1411489
Abstract: ABSTRACT Given two complete hereditary cotorsion pairs (????,ℛ) and in the category of modules which satisfy the conditions ????′⊆????, , and ℛ′ is enveloping, a kind of Tate homology of modules is introduced and investigated… read more here.
Keywords: gorenstein flat; cotorsion pairs; tate homology; homology functors ... See more keywords
Coherent rings and Gorenstein flat character modules
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DOI: 10.1080/00927872.2020.1834570
Abstract: Abstract A module is called a Gorenstein flat character module if its character module is Gorenstein flat. We give some characterizations of Gorenstein flat character modules and explore the relations between Gorenstein injective modules and… read more here.
Keywords: gorenstein flat; flat character; modules coherent; character modules ... See more keywords
Gorenstein Flat Modules of Hopf-Galois Extensions
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DOI: 10.3390/math11112542
Abstract: Let A/B be a right H-Galois extension over a semisimple Hopf algebra H. The purpose of this paper is to give the relationship of Gorenstein flat dimensions between the algebra A and its subalgebra B,… read more here.
Keywords: flat modules; hopf galois; gorenstein flat; modules hopf ... See more keywords