WitrynaFor any positive integer N, we clearly describe all finite-dimensional algebras A such that the upper triangular matrix algebras T N ( A) are piecewise hereditary. Consequently, we describe all finite-dimensional algebras A such that their derived categories of N -complexes are triangulated equivalent to derived categories of hereditary abelian ... Witryna27 cze 2016 · Hereditary triangulated categories. We call a triangulated category \emph {hereditary} provided that it is equivalent to the bounded derived category of …
The Relation Between Gorenstein Derived and Pure Derived …
Witryna1 cze 2011 · In mod kP , we consider a new hereditary category H by choosing a hereditary section Q in od kP generated by all standard projectives of the form kP … WitrynaProposition 4.1 Assume that H is a noetherian, hereditary, abelian cat-egory which is Hom-flnite and satisfles Serre duality. Then the following holds: (i) The full subcategory H0 of consisting of all objects of flnite length is an exact abelian subcategory of H, in particular, a hereditary abelian length category with Serre duality. craftsman m105 lawn mower parts
[1606.08279] Hereditary triangulated categories - arXiv.org
Witryna9 paź 2024 · We prove that A is derived equivalent to a hereditary algebra if and only if so is A⊗k K. 1. introduction Let Abe a finite-dimensional algebra over a field kand A-mod be the category of finitely generated left A-modules. Recall that Ais called piecewise hereditary if there is a hereditary, abelian category Hsuch that the … WitrynaHereditary diseases are a large group of human diseases caused by pathological changes in the genetic apparatus. Currently, more than 6 thousand syndromes with a hereditary transmission mechanism are known, and their total frequency in the population ranges from 0.2 to 4%. Some genetic diseases have a certain ethnic and … Witryna22 lut 2012 · Donald Stanley, Adam-Christiaan van Roosmalen. We study aisles in the derived category of a hereditary abelian category. Given an aisle, we associate a … craftsman m105 push mower