Results 1 to 10 of about 662 (82)
Derived equivalences induced by big cotilting modules [PDF]
Advances in Mathematics, 2014 We prove that given a Grothendieck category G with a tilting object of finite projective dimension, the induced triangle equivalence sends an injective cogenerator of G to a big cotilting module.
Stovicek, Jan
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Monomorphism categories, cotilting theory, and Gorenstein-projective modules [PDF]
Journal of Algebra, 2011 The monomorphism category $\mathcal S_n(\mathcal X)$ is introduced, where $\mathcal X$ is a full subcategory of the module category $A$-mod of Artin algebra $A$.
Dedicated Claus +2 more
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Cotilting modules and homological ring epimorphisms [PDF]
Journal of Algebra, 2015 none1noWe show that every injective homological ring epimorphism f:R--> S where S_R has flat dimension at most one gives rise to a 1-cotilting R-module and we give sufficient conditions under which the converse holds true. Specializing to the case of a
Silvana Bazzoni
core +5 more sources
Tilting and cotilting modules over concealed canonical algebras [PDF]
Mathematische Zeitschrift, 1996 We study infinite dimensional tilting modules over a concealed canonical algebra of domestic or tubular type. In the domestic case, such tilting modules are constructed by using the technique of universal localization, and they can be interpreted in ...
Hügel, Lidia Angeleri, Kussin, Dirk
core +11 more sources
Cotilting modules over commutative Noetherian rings [PDF]
Journal of Pure and Applied Algebra, 2014 18 pages; version 2: minor ...
Jan Šťovíček +2 more
exaly +6 more sources
Cotilting modules over tame hereditary algebras [PDF]
Pacific Journal of Mathematics, 2003 This paper discusses cotilting modules of injective dimension at most one over a finite-dimen\-sion\-al algebra. In the first part of the paper, the authors establish, for a left Noetherian ring \(\Lambda\), a bijective correspondence between equivalence classes of (possibly infinitely generated) cotilting \(\Lambda\)-modules and torsion pairs \((T,F)\)
Aslak Bakke Buan, Henning Krause
openalex +3 more sources
Cotilting modules are pure-injective [PDF]
Proceedings of the American Mathematical Society, 2003 We prove that a cotilting module over an arbitrary ring is pure-injective.
Silvana Bazzoni
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Cotilting modules and bimodules [PDF]
Pacific Journal of Mathematics, 2000 A module \(U_R\) is cotilting if \(\text{Cogen}(U_R)=\text{KerExt}^1_R(-,U_R)\) (this notion is dual to that of a tilting module). A bimodule \(_SU_R\) is cotilting if \(U_R\) and \(_SU\) are cotilting modules. For a bimodule \(_SU_R\) by \(\Delta\) are denoted both the functors \(\Hom_R(-,U)\) and \(\Hom_S(-,U)\), and by \(\Gamma\) both the functors \(
Riccardo Colpi, Kent R. Fuller
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Cotilting with balanced big Cohen-Macaulay modules [PDF]
Journal of Algebra, 2022 17 pages.
Isaac Bird
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Cotilting versus pure-injective modules [PDF]
Pacific Journal of Mathematics, 2003 Let \(R\) be an associative ring. A left \(R\)-module \(_RW\) is said to be cotilting if the class of modules cogenerated by \(_RW\) coincides with the class of modules for which the functor \(\text{Ext}^1_R(-,W)\) vanishes. This paper explores the relation between cotilting modules and pure-injective modules.
Francesca Mantese +2 more
openalex +5 more sources