Results 51 to 60 of about 6,505,496 (165)
In this thesis we consider in detail the following two fundamental problems for semigroup presentations: 1. Given a semigroup find a presentation defining it. 2. Given a presentation describe the semigroup defined by it.
Ruškuc, Nik
core +2 more sources
A group-theoretical interpretation of the word problem for free idempotent generated semigroups [PDF]
The set of idempotents of any semigroup carries the structure of a biordered set, which contains a great deal of information concerning the idempotent generated subsemigroup of the semigroup in question. This leads to the construction of a free idempotent generated semigroup $\mathsf{IG}(\mathcal{E})$ - the `free-est' semigroup with a given biordered ...
Gould, Victoria Ann Rosalind +2 more
openaire +4 more sources
Cartwright–Sturmfels Hilbert schemes
Abstract Let S$S$ be the Cox ring of a product of r$r$ projective spaces. In this paper, we study the Cartwright–Sturmfels Hilbert schemes of S$S$, which are multigraded Hilbert schemes that parameterize only radical ideals. Our main result shows that these Hilbert schemes are always smooth and irreducible if the Picard rank r$r$ is at most 2.
Ritvik Ramkumar, Alessio Sammartano
wiley +1 more source
Note on semigroups generated by positive Rockland operators on graded homogeneous groups [PDF]
If \(L\) is a positive Rockland operator of homogeneous degree \(d\) on a graded homogeneous Lie group \(G\) and \((p_t)_{t > 0}\) the convolution kernel of the semigroup generated by \(L\) then the authors prove that for each left-invariant differential operator \(\partial\) on \(G\) of homogeneous degree \(j\) and all \(k \in \{0, 1, \ldots\}\) there
Dziubański, Jacek +2 more
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Equidistribution in 2‐nilpotent Polish groups and triple restricted sumsets
Abstract The aim of this paper is to establish a Ratner‐type equidistribution theorem for orbits on homogeneous spaces associated with 2$\hskip.001pt 2$‐nilpotent locally compact Polish groups under the action of a countable discrete abelian group.
Ethan Ackelsberg, Asgar Jamneshan
wiley +1 more source
Completely regular semigroup varieties generated by mal'cev products with groups
For \(S\) a completely regular semigroup, let \(C^*(S)\) be the least subsemigroup of \(S\) that contains the set \(E(S)\) of idempotents of \(S\) and contains \(a^{-1}ta\) whenever it contains \(t\) (where \(a^{-1}\) is the \(\mathcal H\)-related inverse of \(a\)).
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Higher representation stability for ordered configuration spaces
Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley +1 more source
The Bergman property for semigroups [PDF]
In this article, we study the Bergman property for semigroups and the associated notions of cofinality and strong cofinality. A large part of the paper is devoted to determining when the Bergman property, and the values of the cofinality and strong ...
Ruskuc, N. +9 more
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Feller semigroups, Lp-sub-Markovian semigroups, and applications to pseudo-differential operators with negative definite symbols [PDF]
The question of extending L-p-sub-Markovian semigroups to the spaces L-q, q > P, and the interpolation of LP-sub-Markovian semigroups with Feller semigroups is investigated.
Farkas, Walter +4 more
core +1 more source

