31 citations · 45 across the 7 of their papers we have counts for
8 papers
Centralizer's applications to the inverse along an element
Huihui Zhu, Jianlong Chen, Pedro Patricio +1
In this paper, we first prove that the absorption law for one-sided inverses along an element holds, deriving the absorption law for the inverse along an element. We then apply thi…
Determinantal Sampling Designs
Vincent Loonis, Xavier Mary
In this article, recent results about point processes are used in sampling theory. Precisely, we define and study a new class of sampling designs: determinantal sampling designs. T…
Natural generalized inverse and core of an element in semigroups, rings and Banach and Operator Algebras
Xavier Mary
Using the recent notion of inverse along an element in a semigroup, and the natural partial order on idempotents, we study bicommuting generalized inverses and define a new inverse…
Classes of semigroups modulo Green's relation H
Xavier Mary
Inverses semigroups and orthodox semigroups are either defined in terms of inverses, or in terms of the set of idempotents E(S). In this article, we study analogs of these semigrou…
Functional learning through kernels
Stephane Canu, Xavier Mary, Alain Rakotomamonjy
This paper reviews the functional aspects of statistical learning theory. The main point under consideration is the nature of the hypothesis set when no prior information is availa…
On generalized inverses and Green's relations
Xavier Mary
We study generalized inverses on semigroups by means of Green's relations. We first define the notion of inverse along an element and study its properties. Then we show that the cl…