Results 11 to 20 of about 3,780 (109)

Prime ideals in skew Laurent polynomial rings [PDF]

Proceedings of the Edinburgh Mathematical Society, 1993
Let R be a commutative ring and {σ1,…,σn} a set of commuting automorphisms of R. Let T = be the skew Laurent polynomial ring in n indeterminates over R and let be the Laurent polynomial ring in n central indeterminates over R. There is an isomorphism φ of right R-modules between T and S given by φ(θj) = xj.
openaire   +1 more source

Algebraic Cuntz-Pimsner rings

, 2009
From a system consisting of a right non-degenerate ring $R$, a pair of $R$-bimodules $Q$ and $P$ and an $R$-bimodule homomorphism $\psi:P\otimes Q\longrightarrow R$ we construct a $\Z$-graded ring $\mathcal{T}_{(P,Q,\psi)}$ called the Toeplitz ring and ...
Carlsen, Toke Meier, Ortega, Eduard
core   +2 more sources

Stratification of prime spectrum of quantum solvable algebras

, 2001
A quantum solvable algebra is an iterated $q$-skew extension of a commutative algebra. We get finite statification of prime spectrum for quantum solvable algebras obeying some natural conditions.
Panov, A. N.
core   +2 more sources

Noncommutative knot theory

, 2004
The classical abelian invariants of a knot are the Alexander module, which is the first homology group of the the unique infinite cyclic covering space of S^3-K, considered as a module over the (commutative) Laurent polynomial ring, and the Blanchfield ...
Atiyah, Boileau, Brown, Cheeger, Cochran, Cohn, Cohn, Gordon, Hempel, Hillman, Hilton, Jacobson, Kawauchi, Kronheimer, Passman, Ranicki, Stallings, Stenström, Strebel, Tim D Cochran, Wall, Whitehead   +21 more
core   +2 more sources

Nakayama automorphisms of double Ore extensions of Koszul regular algebras

, 2016
Let $A$ be a Koszul Artin-Schelter regular algebra and $\sigma$ an algebra homomorphism from $A$ to $M_{2\times 2}(A)$. We compute the Nakayama automorphisms of a trimmed double Ore extension $A_P[y_1, y_2; \sigma]$ (introduced in \cite{ZZ08}).
Van Oystaeyen, Fred, Zhang, Yinhuo, Zhu, Can   +2 more
core   +1 more source

From shape to source: sedimentary charcoal morphology as a proxy for tropical burned biomass composition

Journal of Quaternary Science, Volume 41, Issue 3, Page 490-506, April 2026.
ABSTRACT Sedimentary charcoal elongation is increasingly being used in paleoecology to distinguish herbaceous from woody fuel in past fires. However, the relationship between charcoal morphotypes and plant types has never been formally tested in tropical environments, despite its potential to improve understanding of fire regimes and deforestation, and
Fiona Cornet, Vincent Montade, Stéphanie C. Bodin, Justine Descloitre, Maxime Réjou‐Méchain, Gaëlle Viennois, Julie C. Aleman, Chimène Assi‐Kaudjhis, William F. Kenney, Richard Oslisly, Monique G. Tossou, Laurent Bremond, Charly Favier   +12 more
wiley   +1 more source

The m/n Pieri rule

, 2015
The Pieri rule is an important theorem which explains how the operators e_k of multiplication by elementary symmetric functions act in the basis of Schur functions s_lambda.
Neguţ, Andrei
core   +1 more source

Noncommutative polygonal cluster algebras

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We define a new family of noncommutative generalizations of cluster algebras called polygonal cluster algebras. These algebras generalize the noncommutative surfaces of Berenstein–Retakh, and are inspired by the emerging theory of Θ$\Theta$‐positivity for the groups Spin(p,q)$\mathrm{Spin}(p,q)$.
Zachary Greenberg, Dani Kaufman, Merik Niemeyer, Anna Wienhard   +3 more
wiley   +1 more source

A classification of graded extensions in a skew Laurent polynomial ring, II

Journal of the Mathematical Society of Japan, 2008
A valuation ring in a division ring \(D\) is a subring \(V\) such that \(x^{-1}\in V\) for any \(x\in D\setminus V\). Suppose that \(K\) is a division ring with an automorphism \(\sigma\). A Gauss extension \(S\) of \(V\) in the division ring \(K(X,\sigma)\) of the skew Laurent polynomial ring \(K[X^{\pm 1},\sigma]\) is a valuation ring of \(K(X,\sigma)
XIE, Guangming, MARUBAYASHI, Hidetoshi
openaire   +5 more sources

Poles of regular quaternionic functions

, 2008
This paper studies the singularities of Cullen-regular functions of one quaternionic variable. The quaternionic Laurent series prove to be Cullen-regular. The singularities of Cullen-regular functions are thus classified as removable, essential or poles.
Brackx F, Caterina Stoppato, Cohn PM, Colombo F, Gentili G, Gentili G, Kravchenko VV, Lam TY, Lam TY, Leutwiler H, Pogorui A, Rowen LH   +11 more
core   +2 more sources