Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Thaule, Marius"'
We introduce Toda brackets for n-angulated categories and show that the various definitions of Toda brackets coincide. We prove juggling formulas for these Toda brackets generalizing the triangulated case. Following that, we generalize a theorem due
Externí odkaz:
http://arxiv.org/abs/2312.13209
The morphism axiom for n-angulated categories states that a morphism between the bases of two n-angles can be extended to a morphism of n-angles. We show that this axiom is redundant. For triangulated categories, this was proved by J.P. May.
Com
Com
Externí odkaz:
http://arxiv.org/abs/1601.07018
Publikováno v:
J. Lond. Math. Soc. (2) 93 (1) (2016): 123-142
We show that the category of finitely generated free modules over certain local rings is n-angulated for every n at least 3. In fact, we construct several classes of n-angles, parametrized by equivalence classes of units in the local rings. Finally,
Externí odkaz:
http://arxiv.org/abs/1311.2089
Autor:
Bergh, Petter Andreas, Thaule, Marius
We define the Grothendieck group of an n-angulated category and show that for odd n its properties are as in the special case of n=3, i.e. the triangulated case. In particular, its subgroups classify the dense and complete n-angulated subcategories v
Externí odkaz:
http://arxiv.org/abs/1205.5697
Autor:
Bergh, Petter Andreas, Thaule, Marius
Publikováno v:
Algebr. Geom. Topol. 13 (2013) 2405-2428
We discuss the axioms for an n-angulated category, recently introduced by Geiss, Keller and Oppermann. In particular, we introduce a higher octahedral axiom, and show that it is equivalent to the mapping cone axiom for an n-angulated category. For a
Externí odkaz:
http://arxiv.org/abs/1112.2533
Autor:
THAULE, MARIUS
Publikováno v:
Mathematica Scandinavica, 2016 Jan 01. 119(2), 223-236.
Externí odkaz:
https://www.jstor.org/stable/45148845
Autor:
Bergh, Petter Andreas, Thaule, Marius
Publikováno v:
In Journal of Pure and Applied Algebra February 2014 218(2):354-366