33 citations · 270 across the 44 of their papers we have counts for
45 papers
Płonka bi-magmas and the set-theoretic Yang--Baxter equation
A. L. Agore, A. Chirvasitu, G. Militaru
We introduce a new variety of non-associative algebras, called \emph{Płonka bi-magmas}, and use them to construct novel solutions to the set-theoretic Yang-Baxter (YB) equation. We…
The set-theoretic Yang-Baxter equation, Kimura semigroups and functional graphs
A. L. Agore, A. Chirvasitu, G. Militaru
We prove that the category of solutions of the set-theoretic Yang-Baxter equation of Frobenius-Separability (FS) type is equivalent to the category of pointed Kimura semigroups. As…
Universal constructions for Poisson algebras. Applications
A. L. Agore, G. Militaru
We introduce the \emph{universal algebra} of two Poisson algebras and as a commutative algebra satisfying a certain universal property. The uni…
Crossed products of -algebras. Applications
G. Militaru
A -algebra is a commutative algebra over a field such that , for all . We have proved recently \cite{Mil} that -algebras play a prominent role i…
The factorization problem for Jordan algebras. Applications
A. L. Agore, G. Militaru
We investigate the factorization problem as well as the classifying complements problem in the setting of Jordan algebras. Matched pairs of Jordan algebras and the corresponding bi…
Unified products for Jordan algebras. Applications
A. L. Agore, G. Militaru
Given a Jordan algebra and a vector space , we describe and classify all Jordan algebras containing as a subalgebra of codimension in terms of a non-ab…