Results 11 to 20 of about 6,520 (107)
Noetherian rings of composite generalized power series
Open MathematicsLet A⊆BA\subseteq B be an extension of commutative rings with identity, (S,≤)\left(S,\le ) a nonzero strictly ordered monoid, and S*=S\{0}{S}^{* }\left=S\backslash \left\{0\right\}.
Oh Dong Yeol
doaj +2 more sources
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
Noetherianity up to symmetry [PDF]
, 2013 These lecture notes for the 2013 CIME/CIRM summer school Combinatorial Algebraic Geometry deal with manifestly infinite-dimensional algebraic varieties with large symmetry groups.
Draisma, Jan
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Probabilistic Monads, Domains and Classical Information
, 2012 Shannon's classical information theory uses probability theory to analyze channels as mechanisms for information flow. In this paper, we generalize results of Martin, Allwein and Moskowitz for binary channels to show how some more modern tools ...
Mislove, Michael
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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
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Markov chains, $\mathscr R$-trivial monoids and representation theory
, 2014 We develop a general theory of Markov chains realizable as random walks on $\mathscr R$-trivial monoids. It provides explicit and simple formulas for the eigenvalues of the transition matrix, for multiplicities of the eigenvalues via M\"obius inversion ...
Ayyer, Arvind +3 more
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Infinity‐operadic foundations for embedding calculus
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of ∞$\infty$‐categories of truncated right modules over a unital ∞$\infty$‐operad O$\mathcal {O}$. We study monoidality and naturality properties of this tower, identify its layers, describe the difference between the towers as O$\mathcal {O}$
Manuel Krannich, Alexander Kupers
wiley +1 more source
On the ET0L subgroup membership problem in bounded automata groups
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract We are interested in the subgroup membership problem in groups acting on rooted d$d$‐regular trees and a natural class of subgroups, the stabilisers of infinite rays emanating from the root. These rays, which can also be viewed as infinite words in the alphabet with d$d$ letters, form the boundary of the tree.
Alex Bishop +5 more
wiley +1 more source
Assembly of constructible factorization algebras
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract We provide a toolbox of extension, gluing, and assembly techniques for factorization algebras. Using these tools, we fill various gaps in the literature on factorization algebras on stratified manifolds, the main one being that constructible factorization algebras form a sheaf of symmetric monoidal ∞$\infty$‐categories.
Eilind Karlsson +2 more
wiley +1 more source
Generalized nil-Coxeter algebras, cocommutative algebras, and the PBW property
, 2017 Poincare-Birkhoff-Witt (PBW) Theorems have attracted significant attention since the work of Drinfeld (1986), Lusztig (1989), and Etingof-Ginzburg (2002) on deformations of skew group algebras $H \ltimes {\rm Sym}(V)$, as well as for other cocommutative ...
Khare, Apoorva
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