Tilting modules and torsion theories. The Bulletin of the London Mathematical Society, 14(4):334-336, 1982.Mitsuo Hoshino. Tilting modules and torsion theories. Bull. London Math. Soc., 14(4):334-336, 1982.M. H
Int. Math. Forum (2010) T.J. Cheatham et al. Flat and projective character modules Proc. Am. Math. Soc. (1981) R. Colpi et al. Tilting modules and tilting torsion theories J. Algebra (1995) There are more references available in the full text version of this article. ...
Tilting modules, generalising the notion of progenerator, furnish equivalences between pieces of module categories. This paper is dedicated to study how much these pieces say about the whole category. We will survey the existing results in the literature
Colpi, R., Trlifaj, J.: Tilting modules and tilting torsion theories. J. Algebra 178(2), 614–634 (1995) Article MathSciNet Google Scholar Colpi, R., D’Este, G., Tonolo, A.: Corrigendum: “Quasi-tilting modules and counter equivalences” [J. Algebra 191 (1997), no. 2, 461–...
Trlifaj, Tilting modules and tilting torsion theories, J. Algebra 178 (1995), 614-634. [16] S. E. Dickson, A torsion theory for Abelian categories, Trans. Amer. Math. Soc. 121 (1) (1966), 223-235. [17] D. Happel, Triangulated Categories in the Representation Theory of Finite ...
Trlifaj, Tilting modules and tilting torsion theories, J. Algebra 178 (1995), no. 2, 614–634. 10.1006/jabr.1995.1368Search in Google Scholar [16] W. Crawley-Boevey, Infinite-dimensional modules in the representation theory of finite-dimensional algebras, Algebras and Modules. I (Trondheim ...
In this paper we study cotorsion and torsion pairs induced by cotilting modules. We prove the existence of a strong relationship between the $\\Sigma$-pure injectivity of the cotilting module and the property of the induced cotorsion pair to be of finite type. In particular for cotilting ...
D. Happel and C. M. Ringel.Tilted algebras.Trans. Amer. Math. Soc. 1982, (274): ~399-424 M. Hoshino. Splitting torsion theories induced by tilting modules. Communications in Algebra . 1983M. Hoshino,On splitting torsion theories induced by tilting modules, Comm. Algebra 11 (1983) 427-...
Some characterizations of quasi-cotilting modules are given. As a main result, we prove that there is a bijective correspondence between the equivalent classes of quasi-cotilting modules and torsion-free covering classes.Zhang, PeiyuWei, Jiaqun...
Let R be a ring and C = (A,B) a complete hereditary cotorsion pair of R-modules, and let Pn (GPn) be the class of R-modules of finite projective (Gorenstein projective) dimension at most n. Then the following are equivalent for any nonnegative integer n: (1) KC = AddT, where ...