Results 111 to 120 of about 31,145 (240)
Picard groups and class groups of monoid schemes [PDF]
, 2013 We study the Picard group of a monoid scheme and the class group of a normal monoid scheme. To do so, we develop some ideal theory for (pointed abelian) noetherian monoids, including primary decomposition and discrete valuations.
J. Flores, C. Weibel
semanticscholar +1 more source
Characterizing Topologically Dense Injective Acts and Their Monoid Connections
Journal of MathematicsIn this paper, we explore the concept of topologically dense injectivity of monoid acts. It is shown that topologically dense injective acts constitute a class strictly larger than the class of ordinary injective ones.
Masoomeh Hezarjaribi Dastaki +2 more
doaj +1 more source
The Magnus representation and higher-order Alexander invariants for homology cobordisms of surfaces
, 2006 The set of homology cobordisms from a surface to itself with markings of their boundaries has a natural monoid structure. To investigate the structure of this monoid, we define and study its Magnus representation and Reidemeister torsion invariants by ...
Birman +11 more
core +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
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
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 +2 more
wiley +1 more source
Identities of the plactic monoid
, 2015 It is shown that the plactic monoid M of rank $$3$$3 satisfies the identity $$wvvwvw=wvwvvw$$wvvwvw=wvwvvw where $$v=xyyx xy xyyx$$v=xyyxxyxyyx and $$w= xyyx yx xyyx$$w=xyyxyxxyyx. This is accomplished by first showing that certain simple monoids related
Ł. Kubat, J. Okniński
semanticscholar +1 more source
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
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
Structure theorems for braided Hopf algebras
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract We develop versions of the Poincaré–Birkhoff–Witt and Cartier–Milnor–Moore theorems in the setting of braided Hopf algebras. To do so, we introduce new analogs of a Lie algebra in the setting of a braided monoidal category, using the notion of a braided operad.
Craig Westerland
wiley +1 more source