Results 31 to 40 of about 1,059,681 (321)
Ideals and congruence kernels of algebras [PDF]
It is well known that the congruences of rings and groups are related to the ideals and normal subgroups, respectively. The authors investigate the universal algebras \(\mathcal A\) with an element 0 having the property that every ideal \(I\) of \(\mathcal A\) is the kernel of some congruence \(\theta\) of \(\mathcal A\) (in the sense that \(I = [0 ...
Ivo G. Rosenberg, Ivan Chajda
openaire +3 more sources
We prove two theorems about the Malcev Lie algebra associated to the Torelli group of a surface of genus g: Stably, it is Koszul and the kernel of the Johnson homomorphism consists only of trivial $\mathrm {Sp}_{2g}(\mathbb {Z})$ -representations ...
Alexander Kupers, Oscar Randal-Williams
doaj +1 more source
Neutrosophic Vague Binary G-subalgebra of G-algebra [PDF]
Nowadays, human society is using artificial intelligence in a large manner so as to upgrade the present existing applicational criteria’s and tools. Logic is the underlying principle to these works. Algebra is inevitably inter-connected with logic. Hence
P. B. Remya, A. Francina Shalini
doaj +1 more source
Alpha Ideals and the Space of Prime Alpha Ideals in Universal Algebras
The purpose of this paper is to study α-ideals in a more general context, in universal algebras having a constant 0. Several characterizations are obtained for an ideal I of an algebra A to be an α-ideal.
Gezahagne Mulat Addis
doaj +1 more source
The Poisson Kernel for Hardy Algebras [PDF]
This note contributes to a circle of ideas that we have been developing recently in which we view certain abstract operator algebras $H^{\infty}(E)$, which we call Hardy algebras, and which are noncommutative generalizations of classical $H^{\infty}$, as spaces of functions defined on their spaces of representations.
Paul S. Muhly, Baruch Solel
openaire +3 more sources
Decomposition of Finitely Additive Markov Chains in Discrete Space
In this study, we consider general Markov chains (MC) defined by a transition probability (kernel) that is finitely additive. These Markov chains were constructed by S. Ramakrishnan within the concepts and symbolism of game theory.
Alexander Zhdanok, Anna Khuruma
doaj +1 more source
The kh-socle of a commutative semisimple Banach algebra [PDF]
Let $\mathcal{A}$ be a commutative complex semisimple Banach algebra. Denote by ${\rm kh}({\rm soc}(\mathcal{A}))$ the kernel of the hull of the socle of $\mathcal{A}$.
Youness Hadder
doaj +1 more source
On a chain of reproducing kernel Cartan subalgebras
Let 𝔤 be a semisimple Lie algebra, j a Cartan subalgebra of 𝔤, j*, the dual of j, jv the bidual of j and B(., .) the restriction to j of the Killing form of 𝔤.
Kraidi Anoh Yannick, Kangni Kinvi
doaj +1 more source
algebra is one of the influential branches in the field of pure Mathematics. This field concentrate on the study of the algebraic structures and discussed the relationships among them.
mohd Shahoodh
doaj +1 more source