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We give a thorough structural analysis of the principal one-sided ideals of arbitrary semigroups, and then apply this to full transformation semigroups and symmetric inverse monoids. One-sided ideals of these semigroups naturally occur as…

Group Theory · Mathematics 2019-11-19 James East

We generalize to the relations $(\lambda, \mu) \stackrel{\kappa}{\Rightarrow} (\lambda', \mu')$ and $\alm (\lambda, \mu) \stackrel{\kappa}{\Rightarrow} \alm (\lambda', \mu')$ some results obtained in Parts II and IV. We also present a…

Logic · Mathematics 2009-03-30 Paolo Lipparini

This is a Comment on the Article ``Aging, phase ordering and conformal invariance'' by M.Henkel, M.Pleimling, C.Godr\`eche and J.M.Luck [Phys.Rev.Lett. 87, 265701 (2001)].

Statistical Mechanics · Physics 2009-11-07 Federico Corberi , Eugenio Lippiello , Marco Zannetti

This paper gives elements in the (skew) center of the generalized quantum group corresponding to its irreducible finite dimensional modules. Finally we give a conjecture stating that those must form a basis of the center.

Quantum Algebra · Mathematics 2019-05-20 Punita Batra , Hiroyuki Yamane

In this paper, we prove a result similar to results of Itoh and Hong-Ulrich, proving that integral closure of an ideal is compatible with specialization by a general element of that ideal for ideals of height at least two in a large class…

Commutative Algebra · Mathematics 2022-08-02 Lindsey Hill , Rachel Lynn

We extend the validity domain of the conjecture about the average generalized integral means spectrum of whole-plane SLE introduced in [7, 8]. Thence we improve the results obtained in [7, 8] on the average generalized integral means…

Probability · Mathematics 2022-03-22 Xuan Ho

In this paper, the classical Lie symmetry analysis and the generalized form of Lie symmetry method are performed for a general short pulse equation. The point, contact and local symmetries for this equation are given. In this paper, we…

Analysis of PDEs · Mathematics 2021-08-16 Mehdi Nadjafikhah

In this paper we study and investigate concerning dependent elements of semiprime rings and prime rings R by using generalized derivation and derivation,when R admsit to satisfy some conditions,we give some results about that.

Rings and Algebras · Mathematics 2017-12-07 Mehsin Jabel Atteya

We generalize to FC*, the class of generalized FC-groups introduced in [F. de Giovanni, A. Russo, G. Vincenzi, Groups with restricted conjugacy classes, Serdica Math. J. 28 (2002), 241-254], a result of Baer on Engel elements. More…

Group Theory · Mathematics 2014-12-22 A. Tortora , G. Vincenzi

In this paper, fuzzy h-bi-ideals, fuzzy h-quasi-ideals and fuzzy h-interior ideals of a $\Gamma$-hemiring are studied and some related properties are investi- gated. The notions of h-intra-hemiregularity and h-quasi-hemiregularity of a…

General Mathematics · Mathematics 2012-01-09 S. K. Sardar , D. Mandal

In this paper we calculate some Generalized Selberg integrals. The answer is expressed in terms of $\Gamma$-functions. Integrals of this type serve as normalization constants or directly via undoing 2-D integrals for determination of…

q-alg · Mathematics 2008-02-03 A. Kazarnovski-Krol

Let $M$ be a subset of vector space or projective space. The authors define the \emph{generalized configuration space} of $M$ which is formed by $n$-tuples of elements of $M$ where any $k$ elements of each $n$-tuple are linearly…

Algebraic Topology · Mathematics 2019-11-06 Jun Wang , Xuezhi Zhao

We correct a mistake in a lemma in the paper cited in the title and show that it did not affect any of the other results of the paper. To this end we prove results on linearly disjoint field extensions that do not seem to be commonly known.…

Commutative Algebra · Mathematics 2019-11-13 Franz-Viktor Kuhlmann

We generalize some results of Greither and Popescu to a geometric Galois cover $X\rightarrow Y$ which appears naturally for example in extensions generated by $\mathfrak{p}^n$-torsion points of a rank 1 normalized Drinfeld module (i.e. in…

Number Theory · Mathematics 2018-11-19 Andrea Bandini , Francesc Bars , Edoardo Coscelli

We describe all inequalities among generalized diagonals in positive semi-definite matrices. These turn out to be governed by a simple partial order on the symmetric group. This provides an analogue of results of Drake, Gerrish, and…

Combinatorics · Mathematics 2024-09-18 Robert Angarone , Daniel Soskin

This paper has been withdrawn by the author. There is an error on page 3 in the last inequality before Lemma 1.1.

Functional Analysis · Mathematics 2016-09-08 Joerg Eschmeier

Recently, Kim and Imamura and Yokoyama derived an exact formula for superconformal indices in three-dimensional field theories. Using their results, we prove analytically the equality of superconformal indices in some U(1)-gauge group…

High Energy Physics - Theory · Physics 2011-06-27 C. Krattenthaler , V. P. Spiridonov , G. S. Vartanov

We consider a generalization of Donkin-Koppinen filtrations for coordinate superalgebras of general linear supergroups. More precisely, if $G=GL(m|n)$ is a general linear supergroup of (super)degree $(m|n)$, then its coordinate superalgebra…

Representation Theory · Mathematics 2010-11-02 R. la Scala , A. N. Zubkov

The paper is an overview of recent results on algebraic structures (semigroups, groupoids, algebras, inverse semigroups, and groups) associated with objects with a rich set of partial symmetries. We discuss etale groupoids and inverse…

Operator Algebras · Mathematics 2025-09-09 Volodymyr Nekrashevych

In this article we give evaluations of the two complete elliptic integrals $K$ and $E$ in the form of Ramanujans type-$\pi$ formulas. The result is a formula for $\Gamma(1/4)^2\pi^{-3/2}$ with accuracy about 120 digits per term.

General Mathematics · Mathematics 2011-04-27 Nikos Bagis
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