Results 31 to 40 of about 19,413 (252)
On the Notion of Complete Intersection outside the Setting of Skew Polynomial Rings
, 2015 In recent work of T. Cassidy and the author, a notion of complete intersection was defined for (non-commutative) regular skew polynomial rings, defining it using both algebraic and geometric tools, where the commutative definition is a special case.
Artin M. +5 more
core +1 more source
A signature-based algorithm for computing Gröbner-Shirshov bases in skew solvable polynomial rings
Open Mathematics, 2015 Signature-based algorithms are efficient algorithms for computing Gröbner-Shirshov bases in commutative polynomial rings, and some noncommutative rings. In this paper, we first define skew solvable polynomial rings, which are generalizations of solvable ...
Zhao Xiangui, Zhang Yang
doaj +1 more source
Indagationes Mathematicae (Proceedings), 1968 ABSTRACTSkew polynomial rings .are considered with a multiplication defined byx•a=a1x+a1x2+…+arxr,ai∈K,where K is a (skew) field and the ai depend on a ∈ K. Under certain conditions the rings appear to be non-commutative principal ideal rings with a unique factorization.
openaire +2 more sources
Uniserial Rings and Skew Polynomial Rings
Tokyo Journal of Mathematics, 1984 If \(\tau\) is an automorphism of a division ring D then, for each positive integer c, the factor ring \(S/x^ cS\) of the skew polynomial ring \(S=D[x;\tau]\) is a local uniserial ring of split type. The purpose of this paper is to establish a necessary and sufficient condition on a local uniserial ring R for R to be isomorphic to a ring of the above ...
openaire +3 more sources
Advanced Engineering Materials, EarlyView.It is shown that laser ablation pretreatment under oxygen‐free conditions enables copper–aluminium bonding at significantly lower deformation degrees and improved properties compared to mechanical brushing. Laser ablation further increases interface contact area and induces favourable residual stress states and microstructural compatibility ...
Khemais Barienti +11 more
wiley +1 more source
Unleashing the Power of Machine Learning in Nanomedicine Formulation Development
Advanced Functional Materials, EarlyView.A random forest machine learning model is able to make predictions on nanoparticle attributes of different nanomedicines (i.e. lipid nanoparticles, liposomes, or PLGA nanoparticles) based on microfluidic formulation parameters. Machine learning models are based on a database of nanoparticle formulations, and models are able to generate unique solutions
Thomas L. Moore +7 more
wiley +1 more source
Cardiac‐Derived ECM Microspheres for Enhanced hiPSC‐CMs Maturation
Advanced Functional Materials, EarlyView.Cardiac extracellular matrix microspheres derived from decellularized porcine heart provide a biomimetic 3D microenvironment for human induced pluripotent stem cell–derived cardiomyocytes (hiPSC‐CMs). This platform supports short‐ and long‐term culture, enhances structural organization, and promotes electrophysiological and functional maturation of ...
Jiazhu Xu +9 more
wiley +1 more source
Skew polynomial rings over σ-skew Armendariz rings
Cogent Mathematics, 2016 This article concerns skew polynomial rings over Armendariz rings and σ-skew Armendariz ring. Let R be a Noetherian, Armendariz, prime ring. In this paper we prove that R and the polynomial ring R[x] are 2-primal. Further we prove that if σ is an endomorphism of a ring R, then (1) R is a σ-skew Armendariz ring implies that R[x;σ] is a σ¯-skew ...
V.K. Bhat, Meeru Abrol
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Free structures in division rings
, 2013 Makar-Limanov's conjecture states that if a division ring D is finitely generated and infinite dimensional over its center k then D contains a free k-subalgebra of rank 2.
Júnior, Renato Fehlberg
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Efficient Charge Transport in Zero‐Dimensional Perovskite for Ultrahigh‐Sensitivity X‐Ray Detection
Advanced Functional Materials, EarlyView.A novel mono‐octahedral 0D Bi‐based Dpy3Bi2I12 perovskite strengthens the internal hydrogen bonds and forms a quasi‐2D lattice, exhibits exceptional charge transport and mobility, achieving high X‐ray sensitivity and ultralow‐dose imaging, and setting a new benchmark for 0D detector performance.
Xin Song +16 more
wiley +1 more source