Results 21 to 30 of about 96 (92)
The pseudovariety generated by completely 0-simple semigroups
The author finds a finite pseudoidentity basis for the semigroup pseudovariety generated by all finite 0-simple semigroups. The basis consists of the following four pseudoidentities: (1) \((xy)^{\omega+1}x=xyx\); (2) \(x^{\omega+2}=x^2\); (3) \((xyz)^\omega xhz=xhz(xyz)^\omega\); (4) \((xy)^\omega xzx=xz(xy)^\omega x\).
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The kernel relation for an extension of completely 0-simple semigroups [PDF]
Congruences on regular semigroups can be described by means of their kernels and traces. This approach is adopted in this paper to study congruences on ideal extensions of completely \(0\)-simple semigroups by completely \(0\)-simple semigroups. In particular, the author obtains some detailed information on the congruence lattice of such a semigroup ...
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Some properties of completely 0-simple semigroups
We consider the properties of completely 0-simple semigroup S when the sandwich matrix P and G are Abelian, and generalize the corresponding results for completely simple semigroups.The elements of S are characterized if the subband of S is a left zero ...
CUI Jufen, ZHANG Jiangang
doaj
Geometry of essential matrix ranges and the Smith–Ward problem for operator systems
Abstract A d$d$‐tuple of bounded linear selfadjoint operators acting on an infinite‐dimensional separable Hilbert space is said to have the Smith–Ward property if the identity map of the image of the operator system in the Calkin algebra has a completely positive lift.
Douglas Farenick +2 more
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Free semigroups of large critical exponent
Abstract For a convergence group equipped with an expanding coarse‐cocycle, we construct finitely generated free subsemigroups, which we call Bishop−−Jonessemigroups$\textit{Bishop--Jones semigroups}$, of critical exponent arbitrarily close to but strictly less than the critical exponent of the ambient group.
Aleksander Skenderi
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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
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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
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KdV limit for the Vlasov–Poisson–Landau system
Abstract We are concerned with the fluid limit to KdV equations for the one‐dimensional Vlasov–Poisson–Landau system that describes the dynamics of ions in plasma with the electron density determined by the self‐consistent electric potential through the so‐called Boltzmann relation. Formally, it is well known that as the Knudsen number ε→0$\varepsilon \
Renjun Duan, Dongcheng Yang, Hongjun Yu
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On the theories classified by an étendue
Abstract We give a model‐theoretic characterisation of the geometric theories classified by étendues—the ‘locally localic’ topoi. They are the theories where each model is determined, syntactically and semantically, by any witness of a fixed collection of formulae.
Joshua L. Wrigley
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Bidiagonal Ranks of Completely (0-)simple Semigroups
Summary: A bidiogonal act over a semigroup is a two-sided act, where the semigroup acts on its Cartesian power. A bidiagonal rank of a semigroup is the least power of a generating set of the bidiagonal act over this semigroup. In this paper we compute bidiagonal ranks of completely (0-)simple semigroups.
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