Results 41 to 50 of about 187 (161)
Diagonal Matrix Reduction over Refinement Rings
پژوهشهای ریاضی, 2022 : A ring R is called a refinement ring if the monoid of finitely generated projective R- modules is refinement. Let R be a commutative refinement ring and M, N, be two finitely generated projective R-nodules, then M~N if and only if Mm ~Nm for all ...
Marjan Sheibani Abdolyousefi +2 more
doaj
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
The isomorphism problem for monoid rings of rank 2 monoids
Journal of Pure and Applied Algebra, 1995 Let \(R\) be a commutative ring with identity, \(M\) a finitely generated submonoid of \(\mathbb{Z}^2\), and \(N\) an arbitrary monoid. The main result of this paper is that the monoids \(M\) and \(N\) are isomorphic if (and only if) their corresponding monoid rings \(R[M]\) and \(R[N]\) are isomorphic as \(R\)-algebras. This proof is accomplished by a
openaire +1 more source
Noetherian properties in composite generalized power series rings
Open Mathematics, 2020 Let (Γ,≤)({\mathrm{\Gamma}},\le ) be a strictly ordered monoid, and let Γ⁎=Γ\{0}{{\mathrm{\Gamma}}}^{\ast }\left={\mathrm{\Gamma}}\backslash \{0\}. Let D⊆ED\subseteq E be an extension of commutative rings with identity, and let I be a nonzero proper ...
Lim Jung Wook, Oh Dong Yeol
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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
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
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
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
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.
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Sequences of Primitive and Non-primitive BCH Codes
Trends in Computational and Applied Mathematics, 2018 In this work, we introduce a method by which it is established that; how a sequence of non-primitive BCH codes can be obtained by a given primitive BCH code.
A. S. Ansari +3 more
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