Results 61 to 70 of about 97,313 (257)
On ring homomorphisms of Azumaya algebras [PDF]
, 2005 The main theorem (Theorem 4.1) of this paper claims that any ring morphism from an Azumaya algebra of constant rank over a commutative ring to another one of the same constant rank and over a reduced commutative ring induces a ring morphism between the ...
Adjamagbo, Kossivi +2 more
core +2 more sources
S-algebras and commutative rings
Journal of Pure and Applied Algebra, 1992 AbstractIn this paper we discuss graded subalgebras of the tensor algebra T(V) that are closed under permutations of the factors in homogeneous polynomials; these we call S-algebras. Examples are invariant algebras with respect to some subgroup of GL(V). We prove an S-version of the classical Endlichkeitssatz in the case of noncommutative invariants by
openaire +2 more sources
Continuous functions with compact support
Applied General Topology, 2004 The main aim of this paper is to investigate a subring of the ring of continuous functions on a topological space X with values in a linearly ordered field F equipped with its order topology, namely the ring of continuous functions with compact support ...
Sudip Kumar Acharyya +2 more
doaj +1 more source
In Situ Graph Reasoning and Knowledge Expansion Using Graph‐PRefLexOR
Advanced Intelligent Discovery, EarlyView.Graph‐PRefLexOR is a novel framework that enhances language models with in situ graph reasoning, symbolic abstraction, and recursive refinement. By integrating graph‐based representations into generative tasks, the approach enables interpretable, multistep reasoning.
Markus J. Buehler
wiley +1 more source
The Zero Divisor Graphs of a finite Certain Rings [PDF]
المجلة العراقية للعلوم الاحصائية, 2013 For each commutative ring we associate a ...
Nazar H. Shuker, Husam Q. Mohammad
doaj +1 more source
ELECTROPHORESIS, EarlyView.ABSTRACT The first patent to describe dielectrophoresis (DEP) as a means and process to separate particles from a mixture was granted by the US Patent Office to Henry Stafford Hatfield in 1924. The novel methods of sample preparation and designs of electrode geometry covered by the patent's disclosures and claims describe the basis for most present‐day
Ronald Pethig
wiley +1 more source
Commutativity theorems for rings with constraints on commutators [PDF]
International Journal of Mathematics and Mathematical Sciences, 1991 In this paper, we generalize some well‐known commutativity theorems for associative rings as follows: Let n > 1, m, s, and t be fixed non‐negative integers such that s ≠ m − 1, or t ≠ n − 1, and let R be a ring with unity 1 satisfying the polynomial identity ys[xn, y] = [x, ym]xt for all y ∈ R.
openaire +3 more sources
Derivation Requirements on Prime Near-Rings for Commutative Rings
Jurnal Ilmu Dasar, 2019 Near-ring is an extension of ring without having to fulfill a commutative of the addition operations and left distributive of the addition and multiplication operations It has been found that some theorems related to a prime near-rings are commutative ...
Dian Winda Setyawati +2 more
doaj +1 more source
Exploration, EarlyView.Traditional neuromodulation using rigid electrodes has been limited by low precision, large stimulating currents, and the risk of tissue damage. In this work, we developed a biocompatible flexible electrode array that allows for both neural recording of spike firings and high‐precision, low‐threshold stimulation for neuromodulation.
Yifei Ye +16 more
wiley +1 more source
Local rings of bounded module type are almost maximal valuation rings
, 2005 It is shown that every commutative local ring of bounded module type is an almost maximal valuation ...
Couchot, Francois
core +3 more sources