Results 31 to 40 of about 6,477 (139)
On Generalized Semiderivations of Prime Near Rings
International Journal of Mathematics and Mathematical Sciences, 2015 Let N be a near ring. An additive mapping F:N→N is said to be a generalized semiderivation on N if there exists a semiderivation d:N→N associated with a function g:N→N such that F(xy)=F(x)y+g(x)d(y)=d(x)g(y)+xF(y) and F(g(x))=g(F(x)) for all x,y∈N.
Abdelkarim Boua +3 more
doaj +1 more source
Clifford algebras from quotient ring spectra [PDF]
, 2011 We give natural descriptions of the homology and cohomology algebras of regular quotient ring spectra of even E-infinity ring spectra. We show that the homology is a Clifford algebra with respect to a certain bilinear form naturally associated to the ...
Jeanneret, Alain, Wuethrich, Samuel
core +2 more sources
Ax-Schanuel condition in arbitrary characteristic [PDF]
, 2017 We prove a positive characteristic version of Ax's theorem on the intersection of an algebraic subvariety and an analytic subgroup of an algebraic group.
Kowalski, Piotr
core +1 more source
Generalized Derivations and Generalization of Co-commuting Maps in Prime Rings [PDF]
Taiwanese Journal of Mathematics, 2021 In the paper under review the authors study a functional identity involving three non-zero generalized derivations on a prime ring. More precisely, let \(R\) be a prime ring of characteristic different from \(2\), \(U\) its Utumi quotient ring, \(C\) its extended centroid, \(f(x_1,\ldots,x_n)\) a multilinear polynomial over \(C\), which is not central ...
Dhara, Basudeb +3 more
openaire +2 more sources
On Prime Rings with Derivations
AxiomsThis paper identifies all derivations associated with two well-known non-commutative prime rings and provides some remarks on one of these derivations, called the prime derivation.
Khalid H. Al-Shaalan
doaj +1 more source
Ore and Goldie theorems for skew PBW extensions [PDF]
, 2013 Many rings and algebras arising in quantum mechanics can be interpreted as skew PBW (Poincar\'e-Birkhoff-Witt) extensions. Indeed, Weyl algebras, enveloping algebras of finite-dimensional Lie algebras (and its quantization), Artamonov quantum polynomials,
Acosta, Juan Pablo +4 more
core +1 more source
Liftable derivations for generically separably algebraic morphisms of schemes
, 2006 We consider dominant, generically algebraic, and tamely ramified (if the characteristic is positive) morphisms $\pi: X/S \to Y/S$, where Y,S are Noetherian and integral and X is a Krull scheme (e.g.
Källström, Rolf
core +4 more sources
On $*$-commuting mappings and derivations in rings with involution
TURKISH JOURNAL OF MATHEMATICS, 2016 Summary: Let \(R\) be a ring with involution \(*\). A mapping \(f:R\rightarrow R\) is said to be \(*\)-commuting on \(R\) if \([f(x),x^*]=0\) holds for all \(x\in R\). The purpose of this paper is to describe the structure of a pair of additive mappings that are \(*\)-commuting on a semiprime ring with involution.
Dar, Nadeem Ahmad, Ali, Shakir
openaire +1 more source
Simplicity of Ore monoid rings
, 2019 Given a non-associative unital ring $R$, a monoid $G$ and a set $\pi$ of additive maps $R \rightarrow R$, we introduce the Ore monoid ring $R[\pi ; G]$, and, in a special case, the differential monoid ring.
Nystedt, Patrik +2 more
core +1 more source
A Perspective on Interactive Theorem Provers in Physics
Advanced Science, EarlyView.Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley +1 more source