Results 11 to 20 of about 2,690,760 (318)
Bounded category of an exact category [PDF]
, 2012 Pedersen-Weibel introduced the notion of bounded category of an additive category, which gives the non-connective delooping of the additive category under consideration.
Pallekonda, Seshendra
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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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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
J. Robin B. Cockett, Jean-Simon Lemay
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Category Algebras and States on Categories [PDF]
Symmetry, 2021 The purpose of this paper is to build a new bridge between category theory and a generalized probability theory known as noncommutative probability or quantum probability, which was originated as a mathematical framework for quantum theory, in terms of states as linear functional defined on category algebras.
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Categorial and non-categorial languages [PDF]
Proceedings of the 24th annual meeting on Association for Computational Linguistics -, 1986 We study the formal and linguistic properties of a class of parenthesis-free categorial grammars derived from those of Ades and Steedman by varying the set of reduction rules. We characterize the reduction rules capable of generating context-sensitive languages as those having a partial combination rule and a combination rule in the reverse direction ...
Joyce Friedman, Ramarathnam Venkatesan
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A Convenient Category of Domains [PDF]
, 2007 topological spaces, generalising the usual ω-continuous dcppos of domain theory. Our category supports all the standard constructions of domain theory, including the solution of recursive domain equations.
Ingo Battenfeld +6 more
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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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The Development of Ideological and Political Education Category [PDF]
, 2015 The development of ideological and political education category is about the study of the development of ideological and political education category and its system construction.
LI, Changsong
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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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Rigidity and exotic models for the K-local stable homotopy category [PDF]
, 2007 Can the model structure of a stable model category be recovered from the triangulated structure of its homotopy category? This paper introduces a new positive example for this, namely the K-local stable homotopy at the prime 2.
Roitzheim, C., Roitzheim, Constanze
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