5 citations · 7 across the 7 of their papers we have counts for
7 papers
Constructive semigroups with apartness -- a state of the art
Melanija Mitrovic, Mahouton Norbert Hounkonnou, Paula Catarino
This chapter aims to provide a clear and understandable picture of constructive semigroups with apartness in Bishop's style of constructive mathematics, BISH. Our theory is partly…
Einstein field equation, recursion operators, Noether and master symmetries in conformable Poisson manifolds
Mahouton Norbert Hounkonnou, Mahougnon Justin Landalidji, Melanija Mitrovic
We show that a Minkowski phase space endowed with a bracket relatively to a conformable differential realizes a Poisson algebra, confering a bi-Hamiltonian structure to the resulti…
Hamiltonian Dynamics of a spaceship in Alcubierre and Gödel metrics: Recursion operators and underlying master symmetries
Mahouton Norbert Hounkonnou, Mahougnon Justin Landalidji, Melanija Mitrovíc
We study the Hamiltonian dynamics of a spaceship in the background of Alcubierre and Gödel metrics. We derive the Hamiltonian vector fields governing the system evolution, construc…
Noncommutative Kepler Dynamics: symmetry groups and bi-Hamiltonian structures
Mahouton Norbert Hounkonnou, Mahougnon Justin Landalidji, Melanija Mitrovic
Integrals of motion are constructed from noncommutative (NC) Kepler dynamics, generating and dynamical symmetry groups. The Hamiltonian vector field is…
Some results in constructive semigroup theory
Erik Darpö, Melanija Mitrović
We give a constructive treatment of some basic concepts and results in semigroup theory. Focusing on semigroups equipped with an apartness relation, we give analogues, from the poi…
Generalized Witt and Witt n-algebras, Virasoro algebras and constraints, and KdV equations from R(p,q)-deformed quantum algebras
Mahouton Norbert Hounkonnou, Fridolin Melong, Melanija Mitrovic
We perform generalizations of Witt and Virasoro algebras, and derive the corresponding Korteweg-de Vries equations from known R(p,q)-deformed quantum algebras previously introduced…
Theory of constructive semigroups with apartness -- foundations, development and practice
Melanija Mitrovic, Mahouton Norbert Hounkonnou, Marian Alexandru Baroni
This paper has several purposes. We present through a critical review the results from already published papers on the constructive semigroup theory, and contribute to its further…