5 citations · 8 across the 8 of their papers we have counts for
9 papers
Observations on the variety of equationally linear Heyting semilattices
Xabier García-Martínez, James R. A. Gray, Michael A. Hoefnagel +2
In previous work, we analysed a number of categorical properties, of interest in the context of Janelidze-Márki-Tholen semi-abelian categories, for the variety of…
Categorical-algebraic aspects of Heyting semilattices
Xabier García-Martínez, James R. A. Gray, Michael A. Hoefnagel +2
This article gives an overview of some key categorical-algebraic properties of the variety of Heyting semilattices, with the aim of correcting a misconception in the literature. We…
Action accessible and weakly action representable varieties of algebras
Xabier García-Martínez, Manuel Mancini
The main goal of this article is to investigate the relationship between action accessibility and weak action representability in the context of varieties of non-associative algebr…
A comparison between weakly protomodular and protomodular objects in unital categories
Xabier García-Martínez, Andrea Montoli, Diana Rodelo +1
We compare the concepts of protomodular and weakly protomodular objects within the context of unital categories. Our analysis demonstrates that these two notions are generally dist…
Noncommutative Poisson structure and invariants of matrices
Farkhod Eshmatov, Xabier García-Martínez, Rustam Turdibaev
We introduce a novel approach that employs techniques from noncommutative Poisson geometry to comprehend the algebra of invariants of two matrices. We entirely solve th…
On the coordinate rings of Calogero-Moser spaces and the invariant commuting variety of a pair of matrices
Farkhod Eshmatov, Xabier García-Martínez, Zafar Normatov +1
This paper presents a comprehensive description of the coordinate rings and Poisson brackets associated with the fourth Calogero-Moser space and invariant commuting pairs of matric…