Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Patrice P. Ntumba"'
Autor:
B.Y. Yizengaw, Patrice P. Ntumba
Publikováno v:
Quaestiones Mathematicae. 40:177-195
Let (X, 𝒜) be an algebraized space. We consider sheaves of Clifford Aalgebras (Clifford 𝒜X -algebras, for short) on X associated with arbitrary quadratic 𝒜-modules and study the the natural filtration of Clifford 𝒜-algebras. We show that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cd3e044a94d4d7524b6c1866d031f691
https://doi.org/10.2989/16073606.2017.1283546
https://doi.org/10.2989/16073606.2017.1283546
Autor:
Patrice P. Ntumba
Publikováno v:
Mathematica Slovaca. 64:843-858
This is a part of a further undertaking to affirm that most of classical module theory may be retrieved in the framework of Abstract Differential Geometry (à la Mallios). More precisely, within this article, we study some defining basic concepts of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::04d6e102e5ceabeee448855a244aaf2d
https://doi.org/10.2478/s12175-014-0243-5
https://doi.org/10.2478/s12175-014-0243-5
Autor:
M. Abel, Patrice P. Ntumba
Publikováno v:
Indian Journal of Pure and Applied Mathematics. 45:497-511
Let A be an associative and unital K-algebra sheaf, where K is a commutative ring sheaf, and e an (A, A)-bimodule, that is, a sheaf of (A, A)-bimodules. We construct an (A, A)-bimodulc which is K-isomorphic with the K-module DK(A, e) of germs of K-de
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fe4dd800bfcb3484179773582632066c
https://doi.org/10.1007/s13226-014-0077-4
https://doi.org/10.1007/s13226-014-0077-4
Publikováno v:
Topology and its Applications. 168:159-179
We introduce sheaves of A -modules of fractions (or just A -modules of fractions), on a topological space X, with denominator a monoid-subsheaf S of A ; as aside worth noting, we remark ( Theorem 2.4 ) that there is an isomorphism between the functor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::691730b9301173f9a0e20cf642e6db4c
https://doi.org/10.1016/j.topol.2014.02.005
https://doi.org/10.1016/j.topol.2014.02.005
Autor:
Patrice P. Ntumba
Publikováno v:
Quaestiones Mathematicae. 37:231-247
In this paper, as part of a project initiated by A. Mallios consisting of exploring new horizons for Abstract Differential Geometry (a la Mallios), [5, 6, 7, 8], such as those related to the classical symplectic geometry, we show that essential resul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7d65fc002ca64e2bd9e42db8e9424096
https://doi.org/10.2989/16073606.2013.779992
https://doi.org/10.2989/16073606.2013.779992
Autor:
Patrice P. Ntumba
Publikováno v:
Advances in Applied Clifford Algebras. 22:1093-1107
A Clifford\({\mathcal{A}}\)-algebra of a quadratic \({\mathcal{A}}\)-module (\({\mathcal{E}}\), q) is an associative and unital \({\mathcal{A}}\)-algebra (i.e. sheaf of \({\mathcal{A}}\)-algebras) associated with the quadratic \({\mathcal{S}}\)h\({\m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8cd355d402db7362637cabb743ce629c
https://doi.org/10.1007/s00006-012-0333-9
https://doi.org/10.1007/s00006-012-0333-9
Autor:
Patrice P. Ntumba
Publikováno v:
Czechoslovak Mathematical Journal. 62:265-278
Like the classical Gram-Schmidt theorem for symplectic vector spaces, the sheaf-theoretic version (in which the coefficient algebra sheaf A is appropriately chosen) shows that symplectic A-morphisms on free A-modules of finite rank, defined on a topo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0ba79e8b372ce15893be9c16c50c6f10
https://doi.org/10.1007/s10587-012-0012-y
https://doi.org/10.1007/s10587-012-0012-y
Autor:
Patrice P. Ntumba, Anastasios Mallios
Publikováno v:
Mediterranean Journal of Mathematics. 10:73-89
In classical linear algebra, extending the ring of scalars of a free module gives rise to a new free module containing an isomorphic copy of the former and satisfying a certain universal property. Also, given two free modules on the same ring of scal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b79abe26ce0455612178a781efbfea44
https://doi.org/10.1007/s00009-011-0170-4
https://doi.org/10.1007/s00009-011-0170-4
Autor:
Patrice P. Ntumba
Publikováno v:
Rendiconti del Circolo Matematico di Palermo. 60:173-180
As for the classical complexification of real vector spaces, the sheaf-theoretic version shows that free \(\mathcal{A}\)-modules of finite rank, with \(\mathcal{A}\) an ordered nonzero-nilsquare free ℝ-algebra sheaf, admits a complex structure if a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4db05f106e42cab3cd161a643803621f
https://doi.org/10.1007/s12215-011-0040-8
https://doi.org/10.1007/s12215-011-0040-8
Publikováno v:
Mediterranean Journal of Mathematics. 8:509-524
Building on prior joint work by Mallios and Ntumba, we study transvections (J. Dieudonne), a theme already important from the classical theory, in the realm of Abstract Geometric Algebra, referring herewith to symplectic\({\mathcal A}\)-modules. A ch
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f5dc0c68916c114345d75d16cedcb803
https://doi.org/10.1007/s00009-010-0102-8
https://doi.org/10.1007/s00009-010-0102-8