Results 101 to 110 of about 8,071 (246)
Commutative monoid rings as Hilbert rings [PDF]
Proceedings of the American Mathematical Society, 1985 Assume that R is a commutative unitary ring and that S is a cancellative monoid with quotient group G. Let \(\alpha\) be the torsion-free rank of G and let \(X=\{X_ i\}\) be a set of \(\alpha\) indeterminates over R. We prove that the monoid ring R[S], the group ring R[G], and the polynomial ring R[X] are simultaneously Hilbert rings. In particular, if
openaire +2 more sources
British Journal of Educational Psychology, Volume 96, Issue 2, Page 945-967, June 2026.Abstract Background and Aims A vast body of theory and research highlights the operation of seriation as a prerequisite to mathematical thinking in young children. However, there is limited evidence that seriation interventions improve early years mathematics.
David Tzuriel, Dikla Hanuka‐Levi
wiley +1 more source
The commutative ring of a symmetric design
, 1990 It is shown that any symmetric design has associated to it a certain commutative ring. © 1990.
Prince, Alan R.
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The singularity category and duality for complete intersection groups
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley +1 more source
The representation ring of the structure group of the relative Frobenius morphism
, 2010 Severitt M. The representation ring of the structure group of the relative Frobenius morphism.
Severitt, Markus
core
On the topologies on ind-varieties and related irreducibility questions [PDF]
, 2012 In the literature there are two ways of endowing an a ne indvariety with a topology. One possibility is due to Shafarevich and the other to Kambayashi. In this paper we specify a large class of a ne ind-varieties where these two topologies di er. We give
Stampfli, Immanuel
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On the cohomology of finite‐dimensional nilpotent groups and lie rings
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley +1 more source
The N‐prime graph and the Subgroup Isomorphism Problem
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We introduce a directed graph related to a group G$G$, which we call the N‐prime graph ΓN(G)$\Gamma _{\rm {N}}(G)$ of G$G$ and is a refinement of the classical Gruenberg–Kegel graph. The vertices of ΓN(G)$\Gamma _{\rm {N}}(G)$ are the primes p$p$ such that G$G$ has an element of order p$p$, and, for distinct vertices p$p$ and q$q$, the arc q→p$
Emanuele Pacifici +2 more
wiley +1 more source
A note on co-maximal graphs of commutative rings
AKCE International Journal of Graphs and Combinatorics, 2018 Let R be a commutative ring with unity. The co-maximal graph Γ ( R ) is the graph with vertex set R and two vertices a and b are adjacent if R a + R b = R .
Deepa Sinha, Anita Kumari Rao
doaj +1 more source
The non-commutative full rhotrix ring and its subrings
, 2018 This paper presents the triple (Rn(F),+,o) consisting of the set of all rhotrices of size n with entries in an arbitrary ring F; and together with the operations of rhotrix addition ‘+’ and row-column based method for rhotrix multiplication; 'o' , so as ...
Mohammed, A
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