Results 51 to 60 of about 18,656,732 (149)
Hilbert's Basis Theorem for Poisson Ore Extensions
Mathematische Nachrichten, Volume 299, Issue 11, Page 3464-3470, November 2026.ABSTRACT We prove an analogue of Hilbert's basis theorem for Poisson Ore extensions and Poisson Laurent Ore extensions. We also obtain corresponding results for iterated Poisson Ore extensions and iterated Poisson Laurent Ore extensions associated to commuting Poisson‐pairs.
Per Bäck +3 more
wiley +1 more source
Mission‐Aligned Learning‐Informed Control of Autonomous Systems: Formulation and Foundations
Expert Systems, Volume 43, Issue 11, November 2026.ABSTRACT Research, innovation and practical capital investment have been increasing rapidly toward the realization of autonomous physical agents. This includes industrial and service robots, unmanned aerial vehicles, embedded control devices, and a number of other realizations of cybernetic/mechatronic implementations of intelligent autonomous devices.
Vyacheslav Kungurtsev +7 more
wiley +1 more source
Domain characterizations of strong commutativity of unbounded self‐adjoint operators
Bulletin of the London Mathematical Society, Volume 58, Issue 11, November 2026.Abstract Let A$A$ and B$B$ be unbounded self‐adjoint operators on a Hilbert space. Suppose that there exists a dense linear subspace D⊆D(AB)∩D(BA)$\mathcal {D}\,\subseteq \mathcal {D}\,(AB)\cap \mathcal {D}\,(BA)$ such that ABx=BAx$ABx=BAx$ for x∈D$x \in \mathcal {D}$. We give some characterizations of the strong commutativity of A$A$ and B$B$ in terms
Konrad Schmüdgen
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, 1995 Based on the recent John H. Barrett Memorial Lectures and Conference on Commutative Ring Theory held at The University of Tennessee, Knoxville, this outstanding reference presents the latest advances in zero-dimensional commutative rings and commutative ...
John H. Barrett Memorial Lectures and Conference on Commutative Ring Theory 1994 Knoxville, Tenn. +1 more
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Weighted veronese rings via convex semigroups
Bulletin of the London Mathematical Society, Volume 58, Issue 11, November 2026.Abstract We determine several properties of two‐dimensional normal affine semigroup rings, and in particular of weighted Veronese rings, including determinantal presentations, Gröbner bases, graded Hilbert series and graded Betti numbers, the structure of their associated graded rings, and their Koszul property.
Bek Chase +6 more
wiley +1 more source
, 2021 Signature-based algorithm is an algorithm for computing Gröbner bases over polynomial ring. In this paper, we give the non-commutative theory of minimal signature and the non-commutative signature-based algorithm on both Weyl algebra and Poincaré ...
小原, 功任 +2 more
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A q$q$‐analogue of graph independence polynomials with a group‐theoretic interpretation
Bulletin of the London Mathematical Society, Volume 58, Issue 11, November 2026.Abstract We define totally‐isotropic space polynomials of alternating matrix spaces over finite fields, by analogy with independence polynomials of graphs. Our main result shows that totally‐isotropic space polynomials of graphical alternating matrix spaces give rise to a natural q$q$‐analogue of graph independence polynomials. For p$p$‐groups of class
Youming Qiao
wiley +1 more source
A commutative version of the group ring
We construct a commutative version of the group ring and show that it allows one to translate questions about the normal generation of groups into questions about the generation of ideals in commutative rings.
Mannan, W.H.
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Hyperbolicity and fundamental groups of complex quasi‐projective varieties (III): Applications
Proceedings of the London Mathematical Society, Volume 133, Issue 5, November 2026.Abstract This paper is Part III of a series of three. We begin by introducing the notion of h$h$‐special varieties, which can be seen as varieties “chain‐connected by the Zariski closures of entire curves.” We prove that if X$X$ is either a special smooth complex quasi‐projective variety in the sense of Campana or an h$h$‐special variety, then for any ...
Benoît Cadorel +2 more
wiley +1 more source
Topics in commutative ring theory
, 2009 Topics in Commutative Ring Theory is a textbook for advanced undergraduate students as well as graduate students and mathematicians seeking an accessible introduction to this fascinating area of abstract algebra.Commutative ring theory arose more than a ...
Watkins, John J, Watkins, John J J
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