Results 31 to 40 of about 13,741 (235)
Free incomplete Tambara functors are almost never flat [PDF]
, 2021 Free algebras are always free as modules over the base ring in classical algebra. In equivariant algebra, free incomplete Tambara functors play the role of free algebras and Mackey functors play the role of modules. Surprisingly, free incomplete Tambara functors often fail to be free as Mackey functors. In this paper, we determine for all finite groups
arxiv +1 more source
On the Smoothness of Functors [PDF]
Iranian Journal of Mathematical Sciences and Informatics, 2010 In this paper we try to introduce a good smoothness notion for a functor. We consider properties and conditions from geometry and algebraic geometry which we expect a smooth functor should to have.
Arash Rastegar, Ali Bajravani
openaire +2 more sources
Heavily separable functors [PDF]
Journal of Algebra, 2020 Prompted by an example related to the tensor algebra, we introduce and investigate a stronger version of the notion of separable functor that we call heavily separable. We test this notion on several functors traditionally connected to the study of separability.
Ardizzoni A., Menini C.
openaire +5 more sources
Linguistic Complexity and Argumentative Unity: A Lvov-Warsaw School Supplement
Studies in Logic, Grammar and Rhetoric, 2014 It is argued that the source of complexity in language is twofold: repetition, and syntactic embedding. The former enables us to return again and again to the same subject across many sentences, and to maintain the coherence of an argument. The latter is
Simons Peter
doaj +1 more source
Maschke functors, semisimple functors and separable functors of the second kind: applications
Journal of Pure and Applied Algebra, 2003 23 ...
Caenepeel, Stefaan, Militaru, Gigel
openaire +4 more sources
Proper Functors and Fixed Points for Finite Behaviour [PDF]
Logical Methods in Computer Science, 2018 The rational fixed point of a set functor is well-known to capture the behaviour of finite coalgebras. In this paper we consider functors on algebraic categories. For them the rational fixed point may no longer be fully abstract, i.e.
Stefan Milius
doaj +1 more source
Entropy, 2021 We construct a 2-categorical extension of the relative entropy functor of Baez and Fritz, and show that our construction is functorial with respect to vertical morphisms.
James Fullwood
doaj +1 more source
On $\ast$-measure monads on the category of ultrametric spaces
Karpatsʹkì Matematičnì Publìkacìï, 2022 The functor of $\ast$-measures of compact support on the category of ultrametric spaces and non-expanding maps is introduced in the previous publication of the authors.
Kh.O. Sukhorukova, M.M. Zarichnyi
doaj +1 more source
Proceedings of the American Mathematical Society, 1972 We show that natural transformations play the role of homotopy for (covariant) functors. Homotopic functors are shown to induce identical maps between the homology groups of categories. For a space X, there is an associated category AS(X). We show that the classifying space of AS(X) has the same homotopy type as X if X is a CW complex.
openaire +2 more sources
由度量空间诱导的*-拓扑和s-拓扑(* -Topology and s-topology induced by metric space)
Zhejiang Daxue xuebao. Lixue ban, 2018 This paper studies * -topology and s-topology in polysaturated nonstandard model,which are induced by metric space on two nonstandard sets. In order to construct * -topology , the set of finite points is introduced.
SHIYanwei(史艳维) +1 more
doaj +1 more source