Results 91 to 100 of about 4,881 (233)
Factoring Continuous Homomorphisms Defined on Submonoids of Products of Topologized Monoids
We study factorization properties of continuous homomorphisms defined on submonoids of products of topologized monoids. We prove that if S is an ω-retractable submonoid of a product D = ∏ i ∈ I D i of topologized monoids ...
Mikhail Tkachenko
doaj +1 more source
Profinite direct sums with applications to profinite groups of type ΦR$\Phi _R$
Abstract We show that the ‘profinite direct sum’ is a good notion of infinite direct sums for profinite modules, having properties similar to those of direct sums of abstract modules. For example, the profinite direct sum of projective modules is projective, and there is a Mackey's formula for profinite modules described using these sums.
Jiacheng Tang
wiley +1 more source
AbstractThe Cartesian monoid of partial piecewise shift operators is developed as a model for programming systems such as Backus' FP. Special attention is paid to those elements which are equationally implicitly definable.
openaire +1 more source
The localization of a small category by an abelian monoid [PDF]
Departmental Bulletin PaperIf an abelian monoid M acts on a small category X as a pseudo-functor M → Cat, the lax colimit category M-1 X is obtained by the Grothendieck construction from the induced pseudo-functor on the translation category M of M.
Niwa, Masahiko
core
Modeling (∞,1)$(\infty,1)$‐categories with Segal spaces
Abstract In this paper, we construct a model structure for (∞,1)$(\infty,1)$‐categories on the category of simplicial spaces, whose fibrant objects are the Segal spaces. In particular, we show that it is Quillen equivalent to the models of (∞,1)$(\infty,1)$‐categories given by complete Segal spaces and Segal categories.
Lyne Moser, Joost Nuiten
wiley +1 more source
Hinich's model for Day convolution revisited
Abstract We prove that Hinich's construction of the Day convolution operad of two O$\mathcal {O}$‐monoidal ∞$\infty$‐categories is an exponential in the ∞$\infty$‐category of ∞$\infty$‐operads over O$\mathcal {O}$, and use this to give an explicit description of the formation of algebras in the Day convolution operad as a bivariant functor.
Christoph Winges
wiley +1 more source
Magic N-cubes form a free monoid
In this paper we prove a conjecture stated in an earlier paper. The conjecture states that with respect to a rather natural operation, the set of N-dimensional magic cubes forms a free monoid for every integer N> 1. A consequence of this conjecture is
Magic N-cubes Form +2 more
core
Representation theory of q-rook monoid algebras [PDF]
We show that, over an arbitrary field, q-rook monoid algebras are iterated inflations of Iwahori-Hecke algebras, and, in particular, are cellular. Furthermore we give an algebra decomposition which shows a q-rook monoid algebra is Morita equivalent to a ...
Paget, Rowena E.
core +1 more source
Coxeter's enumeration of Coxeter groups
Abstract In a short paper that appeared in the Journal of the London Mathematical Society in 1934, H. S. M. Coxeter completed the classification of finite Coxeter groups. In this survey, we describe what Coxeter did in this paper and examine an assortment of topics that illustrate the broad and enduring influence of Coxeter's paper on developments in ...
Bernhard Mühlherr, Richard M. Weiss
wiley +1 more source
The planar modular partition monoid
The primary contribution of this thesis is to introduce and examine the planar modular partition monoid for parameters m, k ‚Äöv†v† Z>0, which has simultaneously and independently generated interest from other researchers as outlined within.
Ham, NC (15936899)
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