منابع مشابه
On the structure of standardly stratified algebras
In the first part of the paper we give a characterization for an associative algebra to be standardly stratified in the sense of Cline, Parshall and Scott, generalizing a theorem of V. Dlab. In the second part of the paper we construct characteristic tilting modules for standardly stratified algebras and use them to estimate the finitistic dimension of such algebras. These tilting modules give ...
متن کاملKoszul Duality for Stratified Algebras Ii. Standardly Stratified Algebras
We give a complete picture of the interaction between Koszul and Ringel dualities for graded standardly stratified algebras (in the sense of Cline, Parshall and Scott) admitting linear tilting (co)resolutions of standard and proper costandard modules. We single out a certain class of graded standardly stratified algebras imposing the condition that standard filtrations of projective modules are...
متن کاملOn Good Filtration Dimensions for Standardly Stratified Algebras
∇−good filtration dimensions of modules and of algebras are introduced by Parker for quasi-hereditary algebras. These concepts are now generalized to the setting of standardly stratified algebras. Let A be a standardly stratified algebra. The ∇-good filtration dimension of A is proved to be the projective dimension of the characteristic module of A. Several characterizations of ∇good filtration...
متن کاملOn finitistic dimension of stratified algebras
In this survey we discuss the results on the finitistic dimension of various stratified algebras. We describe what is already known, present some recent estimates, and list some open problems.
متن کاملProperly stratified algebras and tilting
We study the properties of tilting modules in the context of properly stratified algebras. In particular, we answer the question when the Ringel dual of a properly stratified algebra is properly stratified itself, and show that the class of properly stratified algebras for which the characteristic tilting and cotilting modules coincide is closed under taking the Ringel dual. Studying stratified...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2003
ISSN: 0092-7872,1532-4125
DOI: 10.1081/agb-120022232