Results 41 to 50 of about 12,395 (180)
PS-Modules over Ore Extensions and Skew Generalized Power Series Rings
International Journal of Mathematics and Mathematical Sciences, 2015 A right R-module MR is called a PS-module if its socle, SocMR, is projective. We investigate PS-modules over Ore extension and skew generalized power series extension.
Refaat M. Salem +2 more
doaj +1 more source
Bruhat-Chevalley Order in Reductive Monoids [PDF]
Journal of Algebraic Combinatorics, 2004 Let \(M\) be an irreducible algebraic monoid with zero. \(M\) is a reductive monoid if it is the Zariski closure in \(M_n(K)\) of a reductive group \(G\subseteq\text{GL}_n(K)\). The Bruhat-Chevalley order in \(G\) has a natural extension to \(M\). The Renner monoid \(R\) for \(M\) takes the place of the Weyl group \(W\) for \(G\).
openaire +2 more sources
Automorphisms of partition order-decreasing transformation monoids [PDF]
Semigroup Forum, 2012 Let \(T_n\) (\(S_n\)) be the full transformation semigroup (the symmetric group, respectively) on an \(n\)-element set \(X_n\), \(\rho\) an equivalence relation on \(X_n\), \(\preceq\) a total order on \(X_n/\rho\), \(T(\rho,\preceq)=\{\alpha\in T_n:(x\alpha)\rho\preceq x\rho,\;\forall x\in X_n\}\) and \(U_\rho=\{\mu\in S_n:(x\rho)\mu=x\rho,\;x\in X_n\}
Yang, Haobo, Yang, Xiuliang
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Injective positively ordered monoids II
Journal of Pure and Applied Algebra, 1992 We continue in this paper the study of positively ordered monoids (POMs) initiated in "Injective positively ordered monoids I". We prove that injective POMs are the retracts of the powers of $[0,\infty ]$. We also characterize the natural POM-homomorphism from a given refinement POM to its bidual, with, for example, applications to decomposition spaces.
openaire +5 more sources
Divisorial Elements in Lattice-Ordered Monoids
Semigroup Forum, 2005 Let S be a commutative lattice-ordered monoid that is conditionally complete and admits residuals. Imitating the definition of divisorial ideals in commutative ring theory, we study divisorial elements in S. The archimedean divisorial elements behave especially nicely. We establish a Galois correspondence of the divisorial elements in a finite interval.
Fuchs, L +3 more
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Algebraic structures of tropical mathematics
, 2013 Tropical mathematics often is defined over an ordered cancellative monoid $\tM$, usually taken to be $(\RR, +)$ or $(\QQ, +)$. Although a rich theory has arisen from this viewpoint, cf.
Izhakian, Zur +2 more
core +1 more source
Varieties of Languages in a Category
, 2015 Eilenberg's variety theorem, a centerpiece of algebraic automata theory, establishes a bijective correspondence between varieties of languages and pseudovarieties of monoids.
Adamek, Jiri +3 more
core +1 more source
Monoids of IG-type and maximal orders
Journal of Algebra, 2007 21 pages, 0 ...
Jespers, Eric, Goffa, Isabel
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Aggregation and the Structure of Value
Noûs, EarlyView.ABSTRACT Roughly, the view I call “Additivism” sums up value across time and people. Given some standard assumptions, I show that Additivism follows from two principles. The first says that how lives align in time cannot, in itself, matter. The second says, roughly, that a world cannot be better unless it is better within some period or another.
Weng Kin San
wiley +1 more source
On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source