Results 31 to 40 of about 102 (99)
Endomorphisms of semigroups of oriented transformations
Semigroup Forum, 2022 In this paper, we characterize the monoid of endomorphisms of the semigroup of all oriented full transformations of a finite chain, as well as the monoid of endomorphisms of the semigroup of all oriented partial transformations and the monoid of endomorphisms of the semigroup of all oriented partial permutations of a finite chain.
Li, De Biao, Fernandes, Vítor H.
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Regularity and separation for Grušin‐type p‐Laplace operators
Mathematische Nachrichten, Volume 298, Issue 5, Page 1727-1757, May 2025.Abstract We analyze p‐Laplace type operators with degenerate elliptic coefficients. This investigation includes Grušin‐type p‐Laplace operators. We describe a separation phenomenon in elliptic and parabolic p‐Laplace type equations, which provide an illuminating illustration of simple jump discontinuities of the corresponding weak solutions ...
Daniel Hauer, Adam Sikora
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Weak ω‐Approximate Biprojectivity of Banach Algebras
Journal of Mathematics, Volume 2025, Issue 1, 2025.For a given Banach algebra M and a continuous endomorphism ω on M, we define weakly ω‐approximately biprojective and weakly ω‐approximately Helemskii biflat Banach algebras. We then examine the relationship between them and express the correlation between them and ω‐pseudoamenability.
Zahra Ghorbani, Elena Guardo
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Automorphisms of the endomorphism semigroup of a polynomial algebra
Journal of Algebra, 2011 The authors describe the automorphism group of the endomorphism semigroup \(\text{End\,}K[x_1,\dots,x_n]\) of the ring \(K[x_i]\) of polynomials over an arbitrary field \(K\). A similar result is obtained for the automorphism groups of finitely generated free commutative algebras of the variety \(CA\) of commutative algebras.
Belov-Kanel, A., Lipyanski, R.
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Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract For large classes of even‐dimensional Riemannian manifolds (M,g)$(M,g)$, we construct and analyze conformally invariant random fields. These centered Gaussian fields h=hg$h=h_g$, called co‐polyharmonic Gaussian fields, are characterized by their covariance kernels k which exhibit a precise logarithmic divergence: |k(x,y)−log1d(x,y)|≤C$\big ...
Lorenzo Dello Schiavo +3 more
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The Calogero–Moser derivative nonlinear Schrödinger equation
Communications on Pure and Applied Mathematics, Volume 77, Issue 10, Page 4008-4062, October 2024.Abstract We study the Calogero–Moser derivative nonlinear Schrödinger NLS equation i∂tu+∂xxu+(D+|D|)(|u|2)u=0$$\begin{equation*} i\partial _t u +\partial _{xx} u + (D+|D|)(|u|^2) u =0 \end{equation*}$$posed on the Hardy–Sobolev space H+s(R)$H^s_+(\mathbb {R})$ with suitable s>0$s>0$.
Patrick Gérard, Enno Lenzmann
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Brieskorn spheres, cyclic group actions and the Milnor conjecture
Journal of Topology, Volume 17, Issue 2, June 2024.Abstract In this paper we further develop the theory of equivariant Seiberg–Witten–Floer cohomology of the two authors, with an emphasis on Brieskorn homology spheres. We obtain a number of applications. First, we show that the knot concordance invariants θ(c)$\theta ^{(c)}$ defined by the first author satisfy θ(c)(Ta,b)=(a−1)(b−1)/2$\theta ^{(c)}(T_{a,
David Baraglia, Pedram Hekmati
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Equivariant resolutions over Veronese rings
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract Working in a polynomial ring S=k[x1,…,xn]$S={\mathbf {k}}[x_1,\ldots ,x_n]$, where k${\mathbf {k}}$ is an arbitrary commutative ring with 1, we consider the d$d$th Veronese subalgebras R=S(d)$R={S^{(d)}}$, as well as natural R$R$‐submodules M=S(⩾r,d)$M={S^{({\geqslant r},{d})}}$ inside S$S$.
Ayah Almousa +4 more
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Rank properties of the semigroup of endomorphisms over Brandt semigroup
Semigroup Forum, 2017 Howie and Ribeiro \cite{a.Howie99,a.Howie00} introduced various ranks, viz. small rank, lower rank, intermediate rank, upper rank and the large rank of a finite semigroup. In this note, we investigate all these ranks of the semigroup of endomorphisms over Brandt semigroup.
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Enumerating Problems Concerning Endomorphisms of Double Vertex Wheel Graphs
Journal of Mathematics, Volume 2024, Issue 1, 2024.We can define six classes of endomorphisms on a graph, and they always form a chain based on set inclusion. The concepts of endomorphism type and endomorphism spectrum were introduced by Böttcher and Knauer in 1992. They provided a systematic and organized approach to study endomorphisms of graphs.
Yu Li, Hailong Hou, Kaidi Xu, Huadong Su
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