Results 11 to 20 of about 6,170,005 (285)
Derived categories of NDG categories [PDF]
Journal of Homotopy and Related Structures, 2021 We study $N$-differential graded ($NDG$) categories and their the derived categories. First, we introduce $N$-differential modules over an $NDG$ category $\mathcal{A}$. Then we show that the category $\mathsf{C}_{Ndg}(\mathcal{A})$ of $N$-differential $\mathcal{A}$-modules is a Frobenius category, and that its homotopy category $\mathsf{K}_{Ndg ...
Miyachi, Jun-ichi, Nagase, Hiroshi
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Subfactor Categories of Triangulated Categories [PDF]
Communications in Algebra, 2015 15 ...
Xu, Jinde, Zhou, Panyue, Ouyang, Baiyu
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Integral categories and calculus categories [PDF]
Mathematical Structures in Computer Science, 2018 Differential categories are now an established abstract setting for differentiation. However, not much attention has been given to the process which is inverse to differentiation: integration. This paper presents the parallel development for integration by axiomatizing an integral transformation, sA: !A → !A ⊗ A, in a symmetric monoidal category with a
Cockett, Robin, Lemay, Jean-Simon
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G-category versus orbifold category
Topological Methods in Nonlinear Analysis, 2023 We present a comparative study of certain invariants defined for group actions and their analogues defined for orbifolds. In particular, we prove that Fadell's equivariant category for $G$-spaces coincides with the Lusternik-Schnirelmann category for orbifolds when the group is finite.
Andrés Ángel, Hellen Colman
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Category of $A_{\infty}$-categories [PDF]
Homology, Homotopy and Applications, 2003 An \(A_\infty\)-algebra is an algebra for Stasheff's associahedra (non-symmetric) operad on chain complexes. An \(A_\infty\)-category is a several object version of this, although the name might better be used for the unital case. There is a straightforward concept of \(A_\infty\)-functor; and the author here defines natural \(A_\infty ...
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Algebras and Representation Theory, 2016 We introduce Hopf categories enriched over braided monoidal categories. The notion is linked to several recently developed notions in Hopf algebra theory, such as Hopf group (co)algebras, weak Hopf algebras and duoidal categories. We generalize the fundamental theorem for Hopf modules and some of its applications to Hopf categories.
Batista, Eliezer +2 more
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Cofree objects in the centralizer and the center categories [PDF]
Categories and General Algebraic Structures with Applications, 2021 We study cocompleteness, co-wellpoweredness, and generators in the centralizer category of an object or morphism in a monoidal category, and the center or the weak center of a monoidal category.
Adnan H. Abdulwahid
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Method of hardening the foundations and foundations of reconstructed buildings [PDF]
E3S Web of ConferencesA method of strengthening soils and foundations of various buildings and structures, including construction objects of architectural and historical value, as well as during mass renovation in large cities in cramped conditions with a high density of ...
Berlinova Marina, Tvorogov Alexandr
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The universal property of commutative algebras' internal crossed modules
Journal of New Results in Science, 2023 In this work, we identify subobjects and ideals in the category of internal crossed modules, which provide a deeper understanding of the structure of these objects.
Elis Soylu Yılmaz
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The Society of Orthodox Parishes of Petrograd and its Province (1920–1922): the Experience of Sobornost under Persecution [PDF]
Вестник Свято-Филаретовского институтаThis article is devoted to the history of the Society of Orthodox Parishes of Petrograd and its Province — a public organization registered by the Soviet government in 1920, which during its 18 months of existence united around 70 parishes of the ...
Goltsov, Nikita V.
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