Results 241 to 250 of about 66,004 (283)

Triangulated Quotient Categories [PDF]

Communications in Algebra, 2013
A notion of mutation of subcategories in a right triangulated category is defined in this paper. When (Z,Z) is a D-mutation pair in a right triangulated category C, the quotient category Z/D carries naturally a right triangulated structure. More-over, if the right triangulated category satisfies some reasonable conditions, then the right triangulated ...
Bin Zhu
exaly   +3 more sources

Some of the next articles are maybe not open access.

Related searches:

Cohomologically triangulated categories I

Journal of K-Theory, 2008
AbstractWe introduce cohomologically triangulated categories as triples (A,t,▽) given by an additive categoryA, an additive equivalencet:AAand a cohomology class ▽ in the translation cohomologyH3(A,t). A stable homotopy theoryCwithA= HoCyields such a triple and the class of distinguished triangles inAis deduced from ▽.
Baues, H., Muro, F.
openaire   +5 more sources

Depth and Dimension for Triangulated Categories

Bulletin of the Iranian Mathematical Society, 2021
Let \(R\) be a commutative noetherian ring, \(\mathfrak{a}\) an ideal of \(R\), and \(M\) an \(R\)-module. The depth of \(M\) with respect to \(\mathfrak{a}\), denoted by \(\mathrm{depth}_{R}(\mathfrak{a},M)\), is a fundamental numerical invariant lying at the crossroad of commutative algebra and homological algebra.
Li Wang, Zhongkui Liu, Xiaoyan Yang
openaire   +2 more sources

Idempotent Completion of Triangulated Categories

Journal of Algebra, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paul Balmer
exaly   +2 more sources

K1 for Triangulated Categories

K-Theory, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Determinants in Triangulated Categories

K-Theory, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources