Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
On Kreb Algebras
View through CrossRef
In this paper, kreb algebras are introduced. It is shown that that the class of kreb algebras is a wider class than the class of BCI algebras. Properties of kreb algebras are presented. A new binary relation different from the one in classical BCI algebras is defined in kreb algebras, and it is shown that with this relation, kreb algebras are partially ordered sets. It is established that this relation is not a partial ordering in classical BCI algebras. The partial ordering is then used to investigate other properties of kreb algebras. New kinds of ideals and homomorphisms are also introduced and studied in kreb algebras independent of these concepts in classical BCI algebras.
KMAN Publication Incorporation
Title: On Kreb Algebras
Description:
In this paper, kreb algebras are introduced.
It is shown that that the class of kreb algebras is a wider class than the class of BCI algebras.
Properties of kreb algebras are presented.
A new binary relation different from the one in classical BCI algebras is defined in kreb algebras, and it is shown that with this relation, kreb algebras are partially ordered sets.
It is established that this relation is not a partial ordering in classical BCI algebras.
The partial ordering is then used to investigate other properties of kreb algebras.
New kinds of ideals and homomorphisms are also introduced and studied in kreb algebras independent of these concepts in classical BCI algebras.
Related Results
Differential graded vertex Lie algebras
Differential graded vertex Lie algebras
This is the continuation of the study of differential graded (dg) vertex algebras defined in our previous paper [Caradot et al., “Differential graded vertex operator algebras and t...
Quantum B-algebras
Quantum B-algebras
Abstract
The concept of quantale was created in 1984 to develop a framework for non-commutative spaces and quantum mechanics with a view toward non-commutative logic...
Relations between L-algebras and other logical algebras
Relations between L-algebras and other logical algebras
In this paper, by considering the notion of L-algebra, we show that there are relations between L-algebras and some of other logical algebras such as residuated lattices, MTL-alge...
Finitely Presented Heyting Algebras
Finitely Presented Heyting Algebras
In this paper we study the structure of finitely presented Heyting<br />algebras. Using algebraic techniques (as opposed to techniques from proof-theory) we show that every s...
Weak pseudo-BCK algebras
Weak pseudo-BCK algebras
Abstract
In this paper we define and study the weak pseudo-BCK algebras as generalizations of weak BCK-algebras, extending some results given by Cı⃖rulis for weak BC...
On FBZ-Algebras
On FBZ-Algebras
This paper introduces the concept of FBZ-algebra as a generalization of fuzzy implication algebra and investigates its fundamental properties. We establish a sufficient condition f...
Malcev Yang-Baxter equation, weighted $\mathcal{O}$-operators on Malcev algebras and post-Malcev algebras
Malcev Yang-Baxter equation, weighted $\mathcal{O}$-operators on Malcev algebras and post-Malcev algebras
The purpose of this paper is to study the $\mathcal{O}$-operators on Malcev algebras and discuss the solutions of Malcev Yang-Baxter equation by $\mathcal{O}$-operators. Furthe...
On Schur-type theorem for Leibniz 3-algebras
On Schur-type theorem for Leibniz 3-algebras
One of the classic results of group theory is the so-called Schur theorem. It states that if the central factor-group G/ζ(G) of a group G is finite, then its derived subgroup [G,G]...