0 Fe b 20 07 ACTORS IN CATEGORIES OF INTEREST
نویسندگان
چکیده
For an object A of a category of interest C we construct the group with operations B(A) and the semidirect product B(A) ⋉ A and prove that there exists an actor of A in C if and only if B(A) ⋉ A ∈ C. The cases of groups, Lie, Leibniz, asso-ciative, commutative associative, alternative algebras, crossed and precrossed modules are considered. The paper contains some results for the case Ω 2 = {+, * , * • }.
منابع مشابه
ar X iv : m at h / 07 02 57 4 v 2 [ m at h . C T ] 2 5 Fe b 20 07 ACTORS IN CATEGORIES OF INTEREST
For an object A of a category of interest C we construct the group with operations B(A) and the semidirect product B(A) ⋉ A and prove that there exists an actor of A in C if and only if B(A) ⋉ A ∈ C. The cases of groups, Lie, Leibniz, asso-ciative, commutative associative, alternative algebras, crossed and precrossed modules are considered. In particular, we give examples of categories of inter...
متن کامل0 Fe b 20 07 From triangulated categories to abelian categories – cluster tilting in a general framework Steffen
A general framework for cluster tilting is set up by showing that any quotient of a triangulated category modulo a tilting subcategory (that is, a maximal oneorthogonal subcategory) carries an induced abelian structure. These abelian quotients turn out to be module categories of Gorenstein algebras of dimension at most one.
متن کاملContent analysis of policy documents in Iran's public libraries
Purpose: The purpose of this research is to determine the categories and issues that were considered by national policymakers in the field of public libraries of the Islamic Republic of Iran. This study seeks to identify those issues and problems for which policymakers have been trying to find solutions by analyzing the content of policy documents. Method: This research is a qualitative resear...
متن کاملar X iv : 0 90 2 . 17 95 v 1 [ m at h . A G ] 1 1 Fe b 20 09 CATEGORICAL GEOMETRIC SKEW HOWE DUALITY
We categorify the R-matrix isomorphism between tensor products of minuscule representations of Uq(sln) by constructing an equivalence between the derived categories of coherent sheaves on the corresponding convolution products in the affine Grassmannian. The main step in the construction is a categorification of representations of Uq(sl2) which are related to representations of Uq(sln) by quant...
متن کامل1 5 Fe b 20 08 THE POPESCU - GABRIEL THEOREM FOR TRIANGULATED CATEGORIES
The Popescu-Gabriel theorem states that each Grothendieck abelian category is a localization of a module category. In this paper, we prove an analogue where Grothendieck abelian categories are replaced by triangulated categories which are well generated (in the sense of Neeman) and algebraic (in the sense of Keller). The role of module categories is played by derived categories of small differe...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2007