Results 41 to 50 of about 532 (202)
PS-Modules over Ore Extensions and Skew Generalized Power Series Rings
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
Rationality, irrationality, and Wilf equivalence in generalized factor order [PDF]
Let $P$ be a partially ordered set and consider the free monoid $P^{\ast}$ of all words over $P$. If $w,w' \in P^{\ast}$ then $w'$ is a factor of $w$ if there are words $u,v$ with $w=uw'v$. Define generalized factor order on $P^{\ast}$ by letting $u \leq
Sergey Kitaev +3 more
doaj +1 more source
Semi-Baer and Semi-Quasi Baer Properties of Skew Generalized Power Series Rings [PDF]
Let R be a ring with identity, (S,≤) an ordered monoid, ω:S→End(R) a monoid homomorphism, and A=R[[S,ω]] the ring of skew generalized power series. The concepts of semi-Baer and semi-quasi Baer rings were introduced by Waphare and Khairnar as extensions ...
Mostafa Hamam +2 more
doaj +1 more source
Galois orders in skew monoid rings
The paper deals with ring extensions \(\Gamma\subset U\) of an integral domain \(\Gamma\), in particular, a general class of subrings of invariants in twisted Galois semigroup rings which the authors call Galois orders. The study of such Galois orders is inspired by the authors' previous work on Harish-Chandra categories [Fibers of characters in Harish-
Futorny, Vyacheslav, Ovsienko, Serge
openaire +2 more sources
Aggregation and the Structure of Value
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
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
Naturally ordered regular semigroups with an inverse monoid transversal
The notion of an inverse transversal of a regular semigroup is well-known. Here we investigate naturally ordered regular semigroups that have an inverse transversal.
Santos, M. H. Almeida, Blyth, T. S.
core +1 more source
Generalized Baеr and Generalized Quasi-Baеr Properties of Skеw Generalized Power Series Rings [PDF]
Let R be a ring with identity, (S,≤) an ordered monoid, ω:S→End(R) a monoid homomorphism, and A=R[[S,ω]] the ring of skew generalized power series. The concepts of generalized Baer and generalized quasi-Baer rings are generalization of Baer and quasi ...
Refaat Salem +2 more
doaj +1 more source
Injective positively ordered monoids II
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
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
openaire +2 more sources

