Trlifaj, Tilting modules and tilting torsion theories, J. Alg. 178 (1995), 614-634.R. Colpi, J. Trlifaj, Tilting modules and tilting torsion theories, J. Algebra 178 (1995), 614 - 634.Colpi R , Trlifaj J . Tilting Modules and Tilting Torsion Theo2 ries[J ] . J . Algebra ,...
reduction of τ -tilting modules and torsion pairs The class of support $au$-tilting modules was introduced recently by Adachi et al. These modules complete the class of tilting modules from the point of view of mutations. Given a finite-dimensional algebra $A$, we study all basic suppor.....
Tilting torsion-free classA well-known Assem–Smal\\(\\phi \\) theorem on tilting modules plays an important role in tilting theory. In this paper, we prove that a version of Assem–Smal\\(\\phi \\) theorem still holds in the category of comodules. Following this result, we ...
torsionpairThe purpose of this paper is to provide the TTF-theories and investigate the comparisons of recollements(one-sided recollements) both induced by the BB-tilting modules.LIN YaNan amp中国科学:数学(英文版)YaNan Lin,Lin Xin.Comparisons of recollements and tilting modules[J]. Science ...
On Torsion Theories, Weight and t-Structures in Triangulated Categories 2019, Vestnik St. Petersburg University: Mathematics Tilting Cohen-Macaulay representations 2018, Proceedings of the International Congress of Mathematicians, ICM 2018 Higher Auslander Correspondence for Dualizing R-Varieties 2017, Algebras...
We classify all tilting classes over an arbitrary commutative ring via certain sequences of Thomason subsets of the spectrum, generalizing the classification for noetherian commutative rings by Angeleri, Pospíšil, ŠÅ¥ovíček and Trlifaj (
The elongated areas are formed on the upper end of an articulation (30) with a flake (31), and provided to break before the articulation is not tear completely when a cover (20) is driven in rotation around a torsion geometrical axis that is transversal to a tilting axis (A-A) in an...
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
Hoshino, M.: On splitting torsion theories induced by tilting modules. Comm.Algebra 11 , 427–441 (1983)M. Hoshino, On splitting torsion theories induced by tilting modules, Comm. Algebra 11(4) (1983), 427-439.On splitting torsion theories induced by tilting modules - Hoshino - 1983...
The class of support $au$-tilting modules was introduced recently by\nAdachi, Iyama and Reiten. These modules complete the class of tilting modules\nfrom the point of view of mutations. Given a finite dimensional algebra $A$, we\nstudy all basic support $au$-tilting $A$-modules which ...