Laboratoire de Mathématiques Blaise Pascal

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most citedInferring population history with DIYABC: a user-friendly approach to Approximate Bayesian Computation

688 citations

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11 papers · 1 filter

math.RA2008★ 21 cited

Hom-Algebras and Hom-Coalgebras

Abdenacer Makhlouf, Sergei Silvestrov

The aim of this paper is to develop the theory of Hom-coalgebras and related structures. After reviewing some key constructions and examples of quasi-deformations of Lie algebras i…

math.RA2008

Ideal clones: Solution to a problem of Czedli and Heindorf

Martin Goldstern, Michael Pinsker

Given an infinite set X and an ideal I of subsets of X, the set of all finitary operations on X which map all (powers of) I-small sets to I-small sets is a clone. In a 2001 article…

math.RA2007

L'algèbre des invariants d'un groupe de Coxeter agissant sur un mutiple de sa représentation standard

Loïc Foissy

Let G be a Coxeter group of type A_n, B_n, D_n or I_2(N), or a complex reflection group of type G(de,e,n). Let V be its standard representation and let k be an integer greater than…

math.RA2007

Quadratic Malcev Superalgebras with reductive even part

Helena Albuquerque, Elizabete Barreiro, Said Benayadi

It is our goal to give an inductive description of quadratic Malcev superalgebras with reductive even part. We use the notion of double extension of Malcev superalgebras presented…

math.RA2004★ 7 cited

Pure-injective hulls of modules over valuation rings

Francois Couchot

If $R^i s t h e p u r e - inj ec t i v e h u l l o f a v a l u a t i o n r in g$ R $, i t i s p r o v e d t ha t$ \hat{R}\otimes\_RM $i s t h e p u r e - inj ec t i v eo f$ M $, f or e a c h f ini t e l y g e n er a t e d m o d u l e$ M$. Moreove…

math.RA2004★ 14 cited

The lambda-dimension of commutative arithmetic rings

Francois Couchot

It is shown that every commutative arithmetic ring $R$ has $l amb d a$ -dimension $l e q 3$ . An example of a commutative Kaplansky ring with $l amb d a$ -dimension 3 is given. If $R$ satis…