(Generalized) tilting modules with respect to the category σ[M]

Abstract We classify generalized tilting modules and full exceptional sequences for the family of quasi-hereditary quotients of type A zig-zag algebras and for a related family of algebras. We also give a characterization of these quotients as quasi-hereditary algebras with simple preserving duality that are “close” to self-injective algebras.

Download Full-text

Subcategories induced by generalized tilting modules

Communications in Algebra ◽

10.1080/00927879408824993 ◽

1994 ◽

Vol 22 (8) ◽

pp. 2817-2825

Author(s):

Zhou Zhengping

Keyword(s):

Tilting Modules ◽

Generalized Tilting Modules

Download Full-text

Generalized tilting modules with finite injective dimension

Journal of Algebra ◽

10.1016/j.jalgebra.2006.11.025 ◽

2007 ◽

Vol 311 (2) ◽

pp. 619-634 ◽

Cited By ~ 8

Author(s):

Zhaoyong Huang

Keyword(s):

Tilting Modules ◽

Injective Dimension ◽

Generalized Tilting Modules

Download Full-text

k-torsionfree modules with respect to generalized tilting modules

Journal of Algebra and Its Applications ◽

10.1142/s021949881550070x ◽

2015 ◽

Vol 14 (05) ◽

pp. 1550070

Author(s):

Zhi-Bing Zhao ◽

Xian-Neng Du

Keyword(s):

Tilting Modules ◽

Syzygy Module ◽

Generalized Tilting Modules

In this paper, the extension closure of the subcategory of mod R consisting of k-torsionfree modules with respect to a generalized tilting bimodule is discussed. Some classical results related to the extension closure of k-torsionfree modules are generalized and strengthened. Let RωS be a cotilting bimodule, the notion of left ⊥ω-approximation dimension is introduced, and as an application, we give a condition such that a ω-k-syzygy module to be ω-k-torsionfree.

Download Full-text