Results 41 to 50 of about 161,671 (322)
Bimultiplications and Annihilators of Crossed Modules in Associative Algebras
In this paper, we present a generalization of the concept of the bimultiplication algebra by defining the bimultiplication of crossed modules in associative algebras.
Ummahan Ege Arslan, Serdar Hürmetli
doaj +1 more source
Affine Structures on Jet and Weil Bundles [PDF]
Weil algebra morphism induce natural transformations between Weil bundles. In some well known cases, a natural transformation is endowed with a canonical structure of affine bundle.
Blázquez-Sanz, David
core +2 more sources
kProbLog: An Algebraic Prolog for Kernel Programming [PDF]
kProbLog is a simple algebraic extension of Prolog with facts and rules annotated with semiring labels. We propose kProbLog as a language for learning with kernels. kProbLog allows to elegantly specify systems of algebraic expressions on databases. We propose some code examples of gradually increasing complexity, we give a declarative specification of ...
Luc De Raedt+3 more
openaire +3 more sources
Univariate Algebraic Kernel and Application to Arrangements [PDF]
We present a cgal-based univariate algebraic kernel, which provides certied real-root isolation of univariate polynomials with integer coecients and standard functionalities such as basic arithmetic operations, greatest common divisor (gcd) and square-free factorization, as well as comparison and sign evaluations of real algebraic numbers.
Lazard, Sylvain+2 more
openaire +4 more sources
The Corona Problem for Kernel Multiplier Algebras [PDF]
v1: 34 pages. v2: 34 pages, typos corrected. v3: 35 pages, typos corrected, presentation improved. v4 35 pages, typos corrected and referee comments included.
Eric T. Sawyer, Brett D. Wick
openaire +5 more sources
Remarks on the range and the kernel of generalized derivation
Let $L(H)$ denote the algebra of operators on a complex infinite dimensional Hilbert space $H$ and let $\;\mathcal{J}$ denote a two-sided ideal in $L(H)$. Given $A,B\in L(H)$, define the generalized derivation $\delta_{A,B}$ as an operator on $L(H)$ by
Y. Bouhafsi+3 more
doaj +1 more source
The Dunkl kernel and intertwining operator for dihedral groups
Dunkl operators associated with finite reflection groups generate a commutative algebra of differential-difference operators. There exists a unique linear operator called intertwining operator which intertwines between this algebra and the algebra of ...
De Bie, Hendrik, Lian, Pan
core +1 more source
Topological algebras of kernels
This paper is devoted to the study of a class of topological algebras, called locally convex algebras of kernels. The main result of this paper is: Let E be a locally convex space and A its locally convex algebra of kernels. Then the set of all proper closed 2-sided ideals of A coincides with the set of all closed vector subspaces of ker(h), where h is
openaire +4 more sources
On the Jordan kernel of a universal enveloping algebra
The Jordan kernel of an L-module, L being a finite dimensional Lie algebra, is the sum of all its weight subspaces under the action of L. The authors prove that the Jordan kernel of the division ring of quotients D(L) of the enveloping algebra U(L) of a finite dimensional Lie algebra L over a field k of characteristic zero is isomorphic to the group ...
Theo Moons, Ai Ooms
openaire +2 more sources
T-IDEAL AND α-IDEAL OF BP-ALGEBRAS
This paper explores the characteristics of two distinct ideal types within BP-algebra, specifically T-ideal and -ideal. Initially, we elucidate the characteristics of the T-ideal in BP-algebra, establishing its connections with the perfect, normal, and ...
Sri Gemawati+4 more
doaj +1 more source