Results 11 to 20 of about 2,498 (67)

Computing the bound of an Ore polynomial. Applications to factorization

, 2018
We develop a fast algorithm for computing the bound of an Ore polynomial over a skew field, under mild conditions. As an application, we state a criterion for deciding whether a bounded Ore polynomial is irreducible, and we discuss a factorization ...
Gomez-Torrecillas, Jose, Lobillo, F. J., Navarro, Gabriel   +2 more
core   +1 more source

Basic Module Theory over Non-Commutative Rings with Computational Aspects of Operator Algebras

, 2013
The present text surveys some relevant situations and results where basic Module Theory interacts with computational aspects of operator algebras. We tried to keep a balance between constructive and algebraic aspects.Comment: To appear in the Proceedings
A. Kandri-Rody, A. Leroy, A. Quadrat, B. Beckermann, B. Strenström, D. Andres, D. Grigoriev, D. Robertz, F. Chyzak, F. Chyzak, F.W. Anderson, G. Bergman, H. Gluesing-Luerssen, J. Apel, J. Apel, J. Gómez-Torrecillas, J. Gómez-Torrecillas, J. Gómez-Torrecillas, J. Gómez-Torrecillas, J.-E. Björk, J.C. McConnell, J.E. Björk, J.L. Bueso, J.L. Bueso, J.L. Bueso, J.L. Bueso, J.L. Bueso, J.L. Bueso, L. Robbiano, M. Barakat, M. Bronstein, M. Giesbrecht, M. Giesbrecht, M. Hazewinkel, M. Hoeij Van, M. Put Van der, M. Saito, M.A. Barkatou, M.F. Singer, N. Jacobson, N. Jacobson, N. Jacobson, O. Lezama, P.J. Hilton, R.C. Churchill, T. Cluzeau, T. Mora, T. Mora, V. Levandovskyy, V. Levandovskyy, V. Levandovskyy, V. Weispfenning, V.P. Gerdt, W. Adams, Ø. Ore   +54 more
core   +1 more source

Uniform and couniform dimensions of inverse polynomial modules over skew Ore polynomials

International Electronic Journal of Algebra
In this paper, we study the uniform and couniform dimensions of inverse polynomial modules over skew Ore polynomials.
Higuera, Sebastián, Reyes, Armando
openaire   +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

A clonal legacy? Reproductive mode variation in hard‐ and soft‐bottom Gracilaria vermiculophylla populations

Journal of Phycology, Volume 62, Issue 2, Page 427-453, April 2026.
Abstract The invasion of the red macroalga Gracilaria vermiculophylla provided an opportunity to investigate the influence of benthic habitats on the reproductive mode, population structure, and colonization dynamics in haploid‐diploid life cycles.
Alexis P. Oetterer, Solenn Stoeckel, Will H. Ryan, Stacy A. Krueger‐Hadfield   +3 more
wiley   +1 more source

Amitsur's theorem, semicentral idempotents, and additively idempotent semirings

Open Mathematics
The article explores research findings akin to Amitsur’s theorem, asserting that any derivation within a matrix ring can be expressed as the sum of an inner derivation and a hereditary derivation.
Rachev Martin, Trendafilov Ivan
doaj   +1 more source

Fast Computation of Common Left Multiples of Linear Ordinary Differential Operators

, 2012
We study tight bounds and fast algorithms for LCLMs of several linear differential operators with polynomial coefficients. We analyze the arithmetic complexity of existing algorithms for LCLMs, as well as the size of their outputs.
Bostan, Alin, Chyzak, Frédéric, Li, Ziming, Salvy, Bruno   +3 more
core   +4 more sources

The Effect of Metformin on Insulin Requirement, Glycaemic Control and Weight Gain in Type 1 Diabetes During Pregnancy—a Randomised, Placebo‐Controlled Multicentre Study

Diabetes/Metabolism Research and Reviews, Volume 41, Issue 6, September 2025.
ABSTRACT Aim Our aim was to ascertain whether metformin can reduce insulin requirement without compromising glycaemic control during pregnancy in women with type 1 diabetes. Methods A total of 126 pregnant women with type 1 diabetes were recruited for a randomised, double‐blind, placebo‐controlled multicentre study.
Elina Juuma, Kati Tihtonen, Saara E. Metso, Päivi M. Hannula, Mika Helminen, Kristiina Tertti, Heidi Immonen, Leena Georgiadis, Kirsi Väyrynen, Petteri Ahtiainen, Hilkka Nikkinen, Minna Koivikko, Hannele Laivuori, Jukka Uotila   +13 more
wiley   +1 more source

Linearized polynomials over finite fields revisited

, 2013
We give new characterizations of the algebra $\mathscr{L}_n(\mathbb{F}_{q^n})$ formed by all linearized polynomials over the finite field $\mathbb{F}_{q^n}$ after briefly surveying some known ones.
Liu, Zhuojun, Wu, Baofeng
core   +1 more source

Characterisation of Geological Samples with Dual‐Energy XCT: A Comparison of Three Different Scanners

Geostandards and Geoanalytical Research, Volume 49, Issue 3, Page 645-664, September 2025.
Key Points A stoichiometric calibration method for dual‐energy computed tomography allows non‐destructive characterisation of materials. Different acquisition settings and three different scanners were tested, characterising three rocks of known composition. Comparison of measurement results reveals the key parameters to be considered to perform useful
Margherita Martini, Pierre Francus, Laurenz Schröer, Florian Buyse, Pierre Kibleur, Veerle Cnudde, Leonardo Di Schiavi Trotta, Philippe Després   +7 more
wiley   +1 more source