Zobrazeno 1 - 10
of 346
pro vyhledávání: '"18G50"'
Autor:
Gran, Marino, Sciandra, Andrea
Hopf braces have been introduced as a Hopf-theoretic generalization of skew braces. Under the assumption of cocommutativity, these algebraic structures are equivalent to matched pairs of actions on Hopf algebras, that can be used to produce solutions
Externí odkaz:
http://arxiv.org/abs/2411.19238
A well-known, but often ignored issue in Yoneda-style definitions of cohomology objects via collections of $n$-step extensions (i.e., equivalence classes of exact sequences of a given length $n$ between two given objects, usually subject to further c
Externí odkaz:
http://arxiv.org/abs/2411.17200
2-Segal spaces arise not only from $S_\dotp$-constructions associated to Waldhausen and (proto) exact categories, but also from $S_\dotp$-constructions associated to certain double-categorical structures. A major step in this direction is due to the
Externí odkaz:
http://arxiv.org/abs/2410.00276
Autor:
Frank, Jonas, Schulze, Mathias
Buchweitz related the singularity category of a (strongly) Gorenstein ring and the stable category of maximal Cohen-Macaulay modules by a triangle equivalence. We phrase his result in a relative categorical setting based on N-complexes instead of cla
Externí odkaz:
http://arxiv.org/abs/2407.18708
Autor:
Schlegel, Kevin
We relate the theory of purity of a locally finitely presented category with products to the study of exact structures on the full subcategory of finitely presented objects. Properties in the context of purity are translated to properties about exact
Externí odkaz:
http://arxiv.org/abs/2406.19952
Autor:
Ogawa, Yasuaki, Shah, Amit
Waldhausen categories were introduced to extend algebraic $K$-theory beyond Quillen's exact categories. In this article, we modify Waldhausen's axioms so that it matches better with the theory of extriangulated categories, introducing a weak Waldhaus
Externí odkaz:
http://arxiv.org/abs/2406.18091
Autor:
Blanc, David, Paoli, Simona
We describe a comonad on $n$-track categories, for each $n\geq 0$ yielding an explicit cosimplicial abelian group model for the Andr\'{e}-Quillen cohomology of an $(\infty,1)$-category.
Comment: updated introduction
Comment: updated introduction
Externí odkaz:
http://arxiv.org/abs/2405.12674
Publikováno v:
J. High Energ. Phys. 2024, 74 (2024)
Asymptotic observables in quantum field theory beyond the familiar $S$-matrix have recently attracted much interest, for instance in the context of gravity waveforms. Such observables can be understood in terms of Schwinger-Keldysh-type 'amplitudes'
Externí odkaz:
http://arxiv.org/abs/2405.11110
Autor:
Cappelletti, Andrea, Montoli, Andrea
We show that non-pointed versions of the classical homological lemmas hold in regular protomodular categories equipped with a suitable posetal monocoreflective subcategory. Examples of such categories are all protomodular varieties of universal algeb
Externí odkaz:
http://arxiv.org/abs/2405.11038
Autor:
Huebschmann, Johannes
We discuss variants of Berikashvili's functor that arise in differential homological algebra, from simplicial bundles, from ordinary topological bundles, and in more general categorical settings. We prove that, under suitable circumstances, the value
Externí odkaz:
http://arxiv.org/abs/2403.15906