Results 11 to 20 of about 2,515 (87)

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

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

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

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

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

The $q$-difference Noether problem for complex reflection groups and quantum OGZ algebras

, 2016
For any complex reflection group $G=G(m,p,n)$, we prove that the $G$-invariants of the division ring of fractions of the $n$:th tensor power of the quantum plane is a quantum Weyl field and give explicit parameters for this quantum Weyl field. This shows
Hartwig, Jonas T.
core   +1 more source

Pulse waveform analysis in Zambian adults living with HIV on antiretroviral therapy: A cross‐sectional study of vascular dysfunction

Physiological Reports, Volume 14, Issue 8, April 2026.
Abstract People living with HIV (PLWH) experience a greater risk of cardiovascular disease due to HIV‐related vascular injury. Pulse waveform analysis can characterize arterial vascular dysfunction and this study compared arterial waveforms in PLWH on antiretroviral therapy (ART) with HIV‐negative controls.
Theresa Chikopela, Longa Kaluba, Shirley Mwaanga, Fastone M. Goma   +3 more
wiley   +1 more source

Maximal commutative subrings and simplicity of Ore extensions

, 2012
The aim of this article is to describe necessary and sufficient conditions for simplicity of Ore extension rings, with an emphasis on differential polynomial rings. We show that a differential polynomial ring, R[x;id,\delta], is simple if and only if its
Richter, Johan, Silvestrov, Sergei D., Öinert, Johan   +2 more
core   +1 more source

SKEW LAURENT POLYNOMIAL EXTENSIONS OF BAER AND P.P.-RINGS

Bulletin of the Korean Mathematical Society, 2009
Let R be a ring and fi a monomorphism of R. We study the skew Laurent polynomial rings R(x,x i1 ;fi) over an fi-skew Armendariz ring R. We show that, if R is an fi-skew Armendariz ring, then R is a Baer (resp. p.p.-)ring if and only if R(x,x i1 ;fi) is a Baer (resp. p.p.-) ring. Consequently, if R is an Armendariz ring, then R is a Baer (resp.
Alireza R. Nasr-Isfahani, Ahmad Moussavi
openaire   +2 more sources