Results 101 to 110 of about 30,322 (203)

The flat cover conjecture for monoid acts

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract We prove that the Flat Cover Conjecture holds for the category of (right) acts over any right‐reversible monoid S$S$, provided that the flat S$S$‐acts are closed under stable Rees extensions. The argument shows that the class F$\mathcal {F}$‐Mono (S$S$‐act monomorphisms with flat Rees quotient) is cofibrantly generated in such categories ...
Sean Cox
wiley   +1 more source

Factoring Continuous Homomorphisms Defined on Submonoids of Products of Topologized Monoids

Axioms, 2019
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

Finitely based monoids [PDF]

Semigroup Forum, 2015
We present a method for proving that a semigroup is finitely based and find some new sufficient conditions under which a monoid is finitely based. As an application, we find a class of finite monoids where the finite basis property behaves in a complicated way with respect to the lattice operations but can be recognized by a simple algorithm.
openaire   +3 more sources

Is every product system concrete?

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract Is every product system of Hilbert spaces over a semigroup P$P$ concrete, that is, isomorphic to the product system of an E0$E_0$‐semigroup over P$P$? The answer is no if P$P$ is discrete, cancellative and does not embed in a group. However, we show that the answer is yes for a reasonable class of semigroups.
S. Sundar
wiley   +1 more source

Real models for the framed little n$n$‐disks operads

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
wiley   +1 more source

Parametrized stability and the universal property of global spectra

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract We develop a framework of parametrized semiadditivity and stability with respect to so‐called atomic orbital subcategories of an indexing ∞$\infty$‐category T$T$, extending work of Nardin. Specializing this framework, we introduce global ∞$\infty$‐categories and the notions of equivariant semiadditivity and stability, yielding a higher ...
Bastiaan Cnossen, Tobias Lenz, Sil Linskens   +2 more
wiley   +1 more source

The six operations in topology

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract In this paper, we show that the six functor formalism for sheaves on locally compact Hausdorff topological spaces, as developed, for example,‐ in Kashiwara and Schapira's book Sheaves on Manifolds, can be extended to sheaves with values in any closed symmetric monoidal ∞$\infty$‐category which is stable and bicomplete. Notice that, since we do
Marco Volpe
wiley   +1 more source

On the set of Set(n)'s [PDF]

Notes on Number Theory and Discrete Mathematics
The set of Set(n)'s for natural numbers n is constructed. For this set it is proved that it is a commutative semi-group. The conditions for which it is a monoid are given.
Krassimir T. Atanassov
doaj   +1 more source

On cofree S-spaces and cofree S-flows

Applied General Topology, 2012
Let S-Tych be the category of Tychonoff S-spaces for a topological monoid S. We study the cofree S-spaces and cofree S-flows over topological spaces and we prove that for any topological space X and a topological monoid S, the function space C(S,X) with ...
Behnam Khosravi
doaj   +1 more source

Endomorphism monoids of acts over monoids

Semigroup Forum, 1973
In this paper we investigate under which conditions a monoid R is defined by the endomorphism monoid of an act over R. More precisely, we ask when an isomorphism between two such endomorphism monoids over monoids R1 and R2 is induced by a semilinear isomorphism. The question is considered also for ordered and for topological monoids.
Knauer, U., Mikhalev, A.V.
openaire   +1 more source