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The goal of this paper is to provide some basic structure information on derivations in finite semirings.

环与代数 · 数学 2012-09-18 Ivan Trendafilov

The GNS construction for positive invariant sesquilinear forms on quasi *-algebras is generalized to a class of positive C*-valued sesquilinear maps on quasi *-algebras. The result is a *-representation taking values in a space of operators…

算子代数 · 数学 2024-08-08 Giorgia Bellomonte , Stefan Ivkovic , Camillo Trapani

We compute explicitly the limits of tangents of a quasi-ordinary singularity in terms of its special monomials. We show that the set of limits of tangents of Y is essentially a topological invariant of Y .

代数几何 · 数学 2010-03-25 Antonio Araujo , Orlando Neto

Let $(R,\mathfrak{m}_R,k)$ be a one-dimensional complete local reduced $k$-algebra over a field of characteristic zero. The ring $R$ is said to be quasihomogeneous if there exists a surjection $\Omega_R\twoheadrightarrow \mathfrak{m}$ where…

交换代数 · 数学 2024-01-10 Sarasij Maitra , Vivek Mukundan

The explicit form of conformal generators is found which provides the extension of Poincare symmetry for massless particles of arbitrary helicity. The helicity 1/2 particles are considered as the particular example. The realization of…

高能物理 - 理论 · 物理学 2020-01-08 Joanna Gonera , Piotr Kosinski , Pawel Maslanka

Let V be a normal affine variety over the real numbers R, and let S be a semi-algebraic subset of V(R). We study the subring B(S) of the coordinate ring of V consisting of the polynomials that are bounded on S. We introduce the notion of…

代数几何 · 数学 2010-07-30 Daniel Plaumann , Claus Scheiderer

In this paper, we characterize the C*-Algebra generated by partial isometries.

算子代数 · 数学 2007-12-17 Ilwoo Cho , Palle E. T. Jorgensen

Zhou defined $\delta$-semiperfect rings as a proper generalization of semiperfect rings. The purpose of this paper is to discuss relative notions of supplemented modules and to show that the semiperfect rings are precisely the semilocal…

环与代数 · 数学 2008-10-02 Engin Büyükaşık , Christian Lomp

Semi-regular sequences over $\mathbb{F}_2$ are sequences of homogeneous elements of the algebra $ B^{(n)}=\mathbb{F}_2[X_1,...,X_n]/(X_1^2,...,X_n^2) $, which have as few relations between them as possible. They were introduced in order to…

交换代数 · 数学 2014-12-30 T. J. Hodges , S. D. Molina , J. Schlather

We call a ring R pointwise semicommutative if for any element a in R either l(a) or r(a) is an ideal of R. A class of pointwise semicommutative rings is a strict generalization of semicommutative rings. Since reduced rings are pointwise…

环与代数 · 数学 2022-06-06 Sanjiv Subba , Tikaram Subedi , A. M. Buhphang

We examine the correspondence between the various notions of quasirandomness for k-uniform hypergraphs and sigma-algebras related to measurable hypergraphs. This gives a uniform formulation of most of the notions of quasirandomness for…

组合数学 · 数学 2014-04-16 Henry Towsner

We consider the problem of finding quasiperiodicities in a Fibonacci string. A factor u of a string y is a cover of y if every letter of y falls within some occurrence of u in y. A string v is a seed of y, if it is a cover of a superstring…

组合数学 · 数学 2012-01-31 Michalis Christou , Maxime Crochemore , Costas Iliopoulos

We introduce a ring and a field, generated by a semigroup, and we investigate some of their properties.

交换代数 · 数学 2018-01-29 Volker Thürey

In this paper we investigate the structure of certain solutions of the fully nonlinear Yamabe flow, which we call quotient almost Yamabe solitons because they extend quite naturally those called quotient Yamabe solitons. We then present…

In this article we give a characterization of left (right) quasi-duo differential polynomial rings. In particular, we show that a differential polynomial ring is left quasi-duo if and only if it is right quasi-duo. This yields a partial…

环与代数 · 数学 2017-01-03 Mai Hoang Bien , Johan Öinert

This paper considers the equivalence problem for quasi-cyclic codes over finite fields. The results obtained are used to construct isodual quasi-cyclic codes.

信息论 · 计算机科学 2016-07-27 Kenza Guenda , T. Aaron Gulliver

We establish a sharp rate of convergence for a free-boundary curve shortening flow in a convex domain in $\mathbb{R}^{2}$ which converges in finite time to a round half-point.

微分几何 · 数学 2026-03-10 Theodora Bourni , Nathan Burns , Mat Langford

We generalize the idea of a Schur ring of a group to the category of semigroups. Fundamental results of Schur rings over groups are shown to be true for Schur rings over semigroups. Examples where Schur rings differ between the two…

群论 · 数学 2026-01-16 Joseph E. Marrow , Andrew Misseldine

Congruences on a graph inverse semigroup were recently described in terms of the underline graph. Based on such descriptions, we show that the lattice of congruences on a graph inverse semigroup is upper semimodular but not lower…

群论 · 数学 2020-06-30 Yongle Luo , Zhengpan Wang

We study resonance patterns of a spiral-shaped dielectric microcavity with chaotic ray dynamics. Many resonance patterns of this microcavity, with refractive indices $n=2$ and 3, exhibit strong localization of simple geometric shape, and we…

混沌动力学 · 物理学 2009-11-10 Soo-Young Lee , Sunghwan Rim , Jung-Wan Ryu , Tae-Yoon Kwon , Muhan Choi , Chil-Min Kim