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Semifields are semirings in which every nonzero element has a multiplicative inverse. A rough classification uses the characteristic of the semifield, that is the isomorphism type of the semifield generated by the two neutral elements. For…

Algebraic Geometry · Mathematics 2017-09-21 Guillaume Tahar

We prove that under some purely algebraic conditions every locally homogeneous structure modelled on some homogeneous space is induced by a locally homogeneous structure modelled on a different homogeneous space.

Differential Geometry · Mathematics 2022-06-10 Benjamin McKay

Let Q be an affine semigroup generating Z^d, and fix a finitely generated Z^d-graded module M over the semigroup algebra k[Q] for a field k. We provide an algorithm to compute a minimal Z^d-graded injective resolution of M up to any desired…

Commutative Algebra · Mathematics 2007-05-23 David Helm , Ezra Miller

This paper illustrates the relationship between boolean propositional algebra and semirings, presenting some results of partial ordering on boolean propositional algebras, and the necessary conditions to represent a boolean propositional…

Rings and Algebras · Mathematics 2009-06-26 Mahesh Rudrachar , Shrisha Rao , Amit Raj

The aim of this paper is to present a simple way to generate proper monomial rational maps between generalized balls and via the relations between generalized balls and bounded symmetric domains of type I, we suggest new examples of proper…

Complex Variables · Mathematics 2015-01-19 Aeryeong Seo

Entangling properties of a mixed 2-qubit system can be described by the local homogeneous unitary invariant polynomials in elements of the density matrix. The structure of the corresponding invariant polynomial ring for the special subclass…

Quantum Physics · Physics 2017-03-01 V. Gerdt , A. Khvedelidze , Yu. Palii

Motivated by the rich theory of harmonic maps from a 2-sphere, we study biharmonic maps from a 2-sphere in this paper. We first derive biharmonic equation for rotationally symmetric maps between rotationally symmetric 2-manifolds. We then…

Differential Geometry · Mathematics 2015-06-17 Ze-Ping Wang , Ye-Lin Ou , Han-Chun Yang

We give an effective estimation from above for the local {\L}ojasiewicz exponent for separation of semialgebraic sets and for a semialgebraic mapping on a closed semialgebraic set. We also give an effective estimation from below of the…

Algebraic Geometry · Mathematics 2014-12-17 Krzysztof Kurdyka , Stanisław Spodzieja , Anna Szlachcińska

We obtain conditions on the Lee form under which a holomorphic map between almost Hermitian manifolds is a harmonic map or morphism. Then we discuss under what conditions (i) the image of a holomorphic map from a cosymplectic manifold is…

dg-ga · Mathematics 2008-02-03 S. Gudmundsson , J. C. Wood

In this article we discuss relations between algebraic and dynamical properties of non-cyclic semigroups of rational maps.

Dynamical Systems · Mathematics 2021-11-08 Carlos Cabrera , Peter Makienko

In this article we introduce conformal Riemannian morphisms. The idea of conformal Riemannian morphism generalizes the notions of an isometric immersion, a Riemannian submersion, an isometry, a Riemannian map and a conformal Riemannian map.…

Differential Geometry · Mathematics 2023-05-12 RB Yadav , Srikanth KV

Harmonicity of holomorphic maps between various subclasses of almost contact metric manifolds is discussed. Consequently, some new results are obtained. Also some known results are recovered, some of them are generalized and some of them…

Differential Geometry · Mathematics 2023-02-27 Sadettin Erdem

In this paper, we study local systems of locally finite associative algebras over fields of characteristic p\ge0. We describe the perfect local systems and study the relation between them and their corresponding locally finite associative…

Rings and Algebras · Mathematics 2021-01-08 Hasan M S Shlaka

In this paper we study the dynamics of rational maps induced by endomorphisms of ordinary elliptic curves defined over finite fields.

Number Theory · Mathematics 2019-07-31 Simone Ugolini

A new method is given for computing generators of the homology groups with integer coefficients for any finite $T_0$-space. An important role in this method is played by irreducible cycles which are defined here and give rise to continuous…

Algebraic Topology · Mathematics 2018-11-13 Patrick Erik Bradley

Several possible definitions of local injectivity for a homomorphism of an oriented graph $G$ to an oriented graph $H$ are considered. In each case, we determine the complexity of deciding whether there exists such a homomorphism when $G$…

Combinatorics · Mathematics 2022-07-27 Russell J. Campbell , Nancy E. Clarke , Gary MacGillivray

We show that any semi-calibration of degree 2 is locally induced by a smooth almost complex structure. We provide some applications of this result in the regularity theory for semi-calibrated 2-currents

Analysis of PDEs · Mathematics 2015-07-24 Costante Bellettini

Geometric morphisms between realizability toposes are studied in terms of morphisms between partial combinatory algebras (pcas). The morphisms inducing geometric morphisms (the {\em computationally dense\/} ones) are seen to be the ones…

Logic · Mathematics 2014-08-19 Eric Faber , Jaap van Oosten

A map is given showing that convolutions of independent random variables over a finite group and matrix multiplications of doubly stochastic matrices are homomorphic. As an application, a short proof is given to the theorem that the…

Probability · Mathematics 2023-07-04 Yue Liu

We prove that two infinite p-adic semi-algebraic sets are isomorphic (i.e. there exists a semi-algebraic bijection between them) if and only if they have the same dimension.

Logic · Mathematics 2007-05-23 Raf Cluckers
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