Results 51 to 60 of about 1,334,146 (165)
Fractional skew monoid rings [PDF]
, 2003 Given an action α of a monoid T on a ring A by ring endomorphisms, and an Ore subset S of T, a general construction of a fractional skew monoid ring S op ∗ α A∗ α T is given, extending the usual constructions of skew group rings and of skew semigroup ...
P. Ara +3 more
semanticscholar +1 more source
The global dimension of a trace monoid ring [PDF]
Semigroup Forum, 2010 Given a set \(E\) and an irreflexive, symmetric binary relation \(I\subset E\times E\) on \(E\) (\(\forall e\in E\,\, (e,e)\notin I\) and \((a,b)\in I\Rightarrow (b,a)\in I\)), the monoid generated by \(E\) and relations \(ab=ba, (a,b)\in I\) is called the free partially commutative monoid or trace monoid and is denoted by \(M(E,I)\).
openaire +2 more sources
Localization sequences for logarithmic topological cyclic homology
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We introduce the notion of an Ek$\mathbb {E}_k$‐ring with prelogarithmic structure, define logarithmic topological Hochschild homology and logarithmic topological cyclic homology in this context, and establish localization sequences for these theories. Our approach is based on Thom R$R$‐algebras.
John Rognes +2 more
wiley +1 more source
Construction of Left Fir Monoid Rings
Journal of Algebra, 1994 In any monoid \(M\) (always with cancellation) define a preordering by putting \(a\leq b\) if \(b=ad\) for some \(d\in M\); this defines a partial ordering of classes of right associated elements of \(M\). \textit{I. B. Kozhukhov} [Algebra Logika 21, 37-59 (1982; Zbl 0512.16004)] has shown that for any ring \(K\) the monoid ring \(KM\) is a left fir if
Cedo, F., Pitarch, A.
openaire +1 more source
On the positivity and integrality of coefficients of mirror maps
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract We present natural conjectural generalisations of the ‘positivity and integrality of mirror maps’ phenomenon, encompassing the mirror maps appearing in the Batyrev–Borisov construction of mirror Calabi–Yau complete intersections in Fano toric varieties as a special case.
Sophie Bleau, Nick Sheridan
wiley +1 more source
Rings of monoids elementarily equivalent to polynomial rings
Annals of Pure and Applied Logic, 1994 Let \(K\) be a field and \(R= K[X_ 1, \dots, X_ m]\) the ring of polynomials in \(m\) indeterminates over \(K\). The author investigates rings \(S\) elementarily equivalent (in the sense of first-order logic) to \(R\). \textit{A. Bauval} proved that if \(S\) is factorial then \(S\) is isomorphic to \(F[X_ 1, \dots, X_ m]\), where \(F\) is the field of ...
openaire +2 more sources
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract Differential categories provide the categorical foundations for the algebraic approaches to differentiation. They have been successful in formalizing various important concepts related to differentiation, such as, in particular, derivations. In this paper, we show that the differential modality of a differential category lifts to a monad on ...
Jean‐Simon Pacaud Lemay, Chiara Sava
wiley +1 more source
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 twisted ordered monoid rings over quasi-Baer rings
Le Matematiche, 2011 In this paper we show that if M is an Ordered monoid then the twisted monoid ring R^T M is (left principally) quasi-Baer if and only if R is (left principally) quasi-Baer.
Ahmad Ageeb +2 more
doaj
Thurston norm for coherent right‐angled Artin groups via L2$L^2$‐invariants
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We define a new notion of splitting complexity for a group G$G$ along a non‐trivial integral character ϕ∈H1(G;Z)$\phi \in H^1(G; \mathbb {Z})$. If G$G$ is a one‐ended coherent right‐angled Artin group, we show that the splitting complexity along an epimorphism ϕ:G→Z$\phi \colon G \rightarrow \mathbb {Z}$ equals the L2$L^2$‐Euler characteristic
Monika Kudlinska
wiley +1 more source