Results 101 to 110 of about 23,472 (227)
Regularity of Semigroups of Transformations Whose Characters Form the Semigroup of a Δ-Structure
In this paper, we make use of the notion of the character of a transformation on a fixed set X, provided by Purisang and Rakbud in 2016, and the notion of a Δ-structure on X, provided by Magill Jr.
Jittisak Rakbud, Malinee Chaiya
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A Linear Generalization of the Nearly Gorenstein Property, With Applications to Veronese Subalgebras
ABSTRACT We study the nearly Gorenstein property for Veronese subalgebras of (semi‐)standard graded algebras. We introduce a condition (♮)$(\natural)$ for Cohen–Macaulay semi‐standard graded rings, motivated by the study of Ehrhart rings. We show that if a semi‐standard graded algebra R$ R$ satisfies (♮)$(\natural)$, then its Veronese subalgebras R(k)$
Sora Miyashita
wiley +1 more source
On absorption in semigroups and $n$-ary semigroups [PDF]
The notion of absorption was developed a few years ago by Barto and Kozik and immediately found many applications, particularly in topics related to the constraint satisfaction problem. We investigate the behavior of absorption in semigroups and n-ary semigroups (that is, algebras with one n-ary associative operation).
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Representation of right zero semigroups and their semilattices by a transformation semigroup
Background. As is known, an arbitrary semigroup can be represented by a semigroup of transformations that are right shifts either in this semigroup itself or in the extended semigroup obtained from the original one by adding an outer unit. The problems
L.V. Zyablitseva +2 more
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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
wiley +1 more source
Summary: We characterize the idempotent ideal elements of the \(le\)-semigroups in terms of semisimple elements and we prove, among others, that the ideal elements of an \(le\)-semigroup \(S\) are prime (resp. weakly prime) if and only if they form a chain and \(S\) is intraregular (resp. semisimple).
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On the Multiplier Semigroup of a Weighted Abelian Semigroup
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Dabhi, Prakash A., Pandey, Manish Kumar
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Geometric inverse semigroup theory: a note on the Milnor–Schwarz lemma for inverse monoids
Abstract We generalise the Milnor–Schwarz lemma to inverse monoids acting on presheaves of geodesic metric spaces. We provide two proofs of this fact: one only uses elementary techniques, inspired by the arguments for group actions on metric spaces; the other involves a version of the Vietoris–Rips complex, and builds on work of Chung–Martínez–Szakács.
Giorgio Mangioni, Francesco Tesolin
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Uniqueness problem for accretive Schrödinger operators with complex singular coefficients
Abstract This paper studies the uniqueness problem for the one‐dimensional Schrödinger operator associated with the formal differential expression l[u]=−u′′+qu+i[(ru)′+ru′]$l[u] =-u^{\prime \prime }+qu + i[(ru)^{\prime }+ru^{\prime }] $ in the complex Hilbert space L2(R)$L^{2}(\mathbb {R})$.
Vladimir Mikhailets, Volodymyr Molyboga
wiley +1 more source

