scholarly journals On the representation dimension and finitistic dimension of special multiserial algebras

2019 ◽  
Vol 147 (6) ◽  
pp. 2275-2280
Author(s):  
Sibylle Schroll
Keyword(s):  
Finitistic Dimension ◽  
Representation Dimension

scholarly journals AUSLANDER GENERATORS AND HOMOLOGICAL CONJECTURES

2013 ◽  
Vol 56 (3) ◽  
pp. 503-506 ◽  
Author(s):  
JIAQUN WEI
Keyword(s):  
Artin Algebra ◽  
Representation Dimension ◽  
Homological Conjectures

AbstractLet A be an artin algebra with representation dimension not more than 3. Assuming that AV is an Auslander generator and M ∈ addAV, we show that both findim(EndAM) and findim(EndAM)op are finite, and consequently the Gorenstein symmetry conjecture, the Wakamatsu-tilting conjecture and the generalized Nakayama conjecture hold for EndAM.

scholarly journals Maximal representation dimension of finitep-groups

2011 ◽  
pp. ---
Author(s):  
Shane Cernele ◽  
Masoud Kamgarpour ◽  
Zinovy Reichstein
Keyword(s):  
Representation Dimension ◽  
Maximal Representation

scholarly journals PROPERLY STRATIFIED ALGEBRAS AND TILTING

2005 ◽  
Vol 92 (1) ◽  
pp. 29-61 ◽  
Author(s):  
ANDERS FRISK ◽  
VOLODYMYR MAZORCHUK
Keyword(s):  
Projective Dimension ◽  
Finitistic Dimension ◽  
Tilting Module ◽  
Tilting Modules ◽  
Category Of Modules ◽  
Cotilting Modules ◽  
Contravariantly Finite ◽  
Properly Stratified Algebras ◽  
Stratified Algebra ◽  
Generalized Tilting Module

We study the properties of tilting modules in the context of properly stratified algebras. In particular, we answer the question of 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 algebras whose Ringel dual is properly stratified, we discover a new Ringel-type duality for such algebras, which we call the two-step duality. This duality arises from the existence of a new (generalized) tilting module for stratified algebras with properly stratified Ringel dual. We show that this new tilting module has a lot of interesting properties; for instance, its projective dimension equals the projectively defined finitistic dimension of the original algebra, it guarantees that the category of modules of finite projective dimension is contravariantly finite, and, finally, it allows one to compute the finitistic dimension of the original algebra in terms of the projective dimension of the characteristic tilting module.

Diversity recognition and minority representation in Central and Southeast Europe: a comparative analysis

2014 ◽  
Vol 42 (3) ◽  
pp. 426-448 ◽  
Author(s):  
István Gergőo Székely ◽  
István Horváth
Keyword(s):  
Comparative Analysis ◽  
Political Representation ◽  
Strong Relationship ◽  
Legal Analysis ◽  
Southeast Europe ◽  
Minority Representation ◽  
Representation Dimension ◽  
General Attitude ◽  
External Pressures ◽  
Ethnocultural Diversity

The need to handle ethnocultural diversity and the external pressures of Euro-Atlantic integration have led to the development of complex minority rights regimes in Central and Southeast European states. The aim of this paper is to perform a comparative analysis of the political representation dimension of these regimes, and to investigate how the regulations in this domain are related to the more general attitude of states toward diversity recognition and registration. For this purpose, we classify the states according to a series of variables concerning the manner in which ethnocultural diversity is recognized and portrayed, as well as the regulations concerning the representation of minorities, and identify patterns of their incidence. The formal-legal analysis of the constitutions, minority protection laws and of the electoral legislation of the included countries reveals a clear connection between the general attitude of the state toward diversity and the incidence of autonomies, and a less unequivocal, yet strong relationship in the case of minority representation in the national polity.

scholarly journals Maximal representation dimension of finite p-groups

2011 ◽  
Vol 14 (4) ◽  
Author(s):  
Shane Cernele ◽  
Masoud Kamgarpour ◽  
Zinovy Reichstein
Keyword(s):  
Representation Dimension ◽  
Maximal Representation
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