Cluster Subalgebras and Cotorsion Pairs in Frobenius Extriangulated Categories
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DOI: 10.1007/s10468-018-9811-7
Abstract: Nakaoka and Palu introduced the notion of extriangulated categories by extracting the similarities between exact categories and triangulated categories. In this paper, we study cotorsion pairs in a Frobenius extriangulated category C$\mathcal {C}$. Especially, for… read more here.
Keywords: extriangulated categories; cotorsion pairs; pairs frobenius; frobenius extriangulated ... See more keywords
Cotorsion pairs and approximation classes over formal triangular matrix rings
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DOI: 10.1016/j.jpaa.2019.106271
Abstract: Abstract Let T = ( A 0 U B ) be a formal triangular matrix ring, where A and B are rings and U is a ( B , A ) -bimodule. Let C 1… read more here.
Keywords: triangular matrix; formal triangular; resp hereditary; cotorsion pairs ... 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
One-sided triangulated categories induced by concentric twin cotorsion pairs
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DOI: 10.1142/s021949882050142x
Abstract: Extriangulated categories were introduced by Nakaoka and Palu by extracting the similarities between exact categories and triangulated categories. Nakaoka and Palu introduced the notion of concentric twin cotorsion pairs in extriangulated categories. In this paper,… read more here.
Keywords: concentric twin; twin cotorsion; triangulated categories; cotorsion pairs ... See more keywords