Torsion Theories and Tilting Modules

1984 ◽  
Vol 16 (5) ◽  
pp. 518-522 ◽  
Author(s):  
Sverre O. Smalø
Keyword(s):  
Tilting Modules ◽  
Torsion Theories

On torsion theories induced by tilting modules

1992 ◽  
Vol 20 (7) ◽  
pp. 2015-2027 ◽  
Author(s):  
P.A. Guil Asensio ◽  
F. Guil Asensio
Keyword(s):  
Tilting Modules ◽  
Torsion Theories

scholarly journals Tilting Modules and Tilting Torsion Theories

1995 ◽  
Vol 178 (2) ◽  
pp. 614-634 ◽  
Author(s):  
R. Colpi ◽  
J. Trlifaj
Keyword(s):  
Tilting Modules ◽  
Torsion Theories

Torsion Theories Induced by Tilting Modules

1984 ◽  
Vol 36 (5) ◽  
pp. 899-913 ◽  
Author(s):  
Ibrahim Assem
Keyword(s):  
Torsion Theory ◽  
Torsion Class ◽  
Tilting Module ◽  
Tilting Modules ◽  
Direct Sums ◽  
Commutative Field ◽  
Finite Dimensional ◽  
Torsion Theories ◽  
Image Position ◽  
Torsion Free

Let k be a commutative field, and A a finite-dimensional k-algebra. By a module will always be meant a finitely generated right module. Following [8], we shall call a module TA a tilting module if (1) pdTA ≦ 1, (2) Ext1A(T, T) = 0 and (3) there is a short exact sequencewith T’ and T” direct sums of direct summands of T. Given a tilting module TA, the full subcategories andof the category modA of A -modules are respectively the torsion-free class and the torsion class of a torsion theory on modA[8]. The aim of the present paper is to find conditions on a torsion theory in order that it be induced by a tilting module.

Prestressed Concrete Tests Compared With Torsion Theories

PCI Journal ◽  
1985 ◽  
Vol 30 (5) ◽  
pp. 96-127 ◽  
Author(s):  
Arthur E. McMullen ◽  
Wael M. EI-Degwy
Keyword(s):  
Prestressed Concrete ◽  
Torsion Theories

scholarly journals Tilting modules and cellular categories

2020 ◽  
Vol 224 (9) ◽  
pp. 106366
Author(s):  
Henning Haahr Andersen
Keyword(s):  
Tilting Modules

On a simplical complex associated with tilting modules

1991 ◽  
Vol 66 (1) ◽  
pp. 70-78 ◽  
Author(s):  
Christine Riedtmann ◽  
Aidan Schofield
Keyword(s):  
Tilting Modules ◽  
Simplical Complex
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