Browsing Natural and Agricultural Sciences by Author "Ntumba, Patrice P."

Browsing Natural and Agricultural Sciences by Author "Ntumba, Patrice P."

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  • A-transvections and Witt’s theorem in symplectic A-modules 
    Ntumba, Patrice P.; Anyaegbunam, Adaeze Christiana (Springer, 2011)
    Building on prior joint work by Mallios and Ntumba, we study transvections (J. Dieudonn´e), a theme already important from the classical theory, in the realm of Abstract Geometric Algebra, referring herewith to symplectic ...
  • Clifford A-algebras of quadratic A-modules 
    Ntumba, Patrice P. (Springer, 2012-04)
    A Clifford A-algebra of a quadratic A-module (E, q) is an associative and unital A-algebra (i.e. sheaf of A-algebras) associated with the quadratic ShSetX-morphism q, and satisfying a certain universal property. By ...
  • On the commutativity of the Clifford and "extension of scalars" functors 
    Ntumba, Patrice P.; Yizengaw, Belayneh Yibeltal (Elsevier, 2014-05)
    Please read abstract in the article.
  • On the group sheaf of A-symplectomorphisms 
    Ntumba, Patrice P. (Springer, 2014-04)
    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 (`a la Mallios). More precisely, within this article, we study ...
  • Reflexivity of orthogonality in A-modules 
    Ntumba, Patrice P. (Taylor and Francis, 2014-04)
    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, ...
  • Universal problem for Kähler differentials in A-modules : non-commutative and commutative cases 
    Abel, M.; Ntumba, Patrice P. (Springer, 2014-08)
    Let A be an associative and unital K-algebra sheaf, where K is a commutative ring sheaf, and ε 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 ...
  • Witt's theorem in abstract geometric algebra 
    Ntumba, Patrice P. (Springer, 2010)
    In an earlier paper of the author, a version of the Witt’s theorem was obtained within a specific subcategory of the category of A-modules: the full subcat-egory of convenient A-modules. A further investigation yields ...