Displaying 181 – 200 of 277

Showing per page

The symplectic Gram-Schmidt theorem and fundamental geometries for 𝒜 -modules

Patrice P. Ntumba (2012)

Czechoslovak Mathematical Journal

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 topological space X , induce canonical bases (Theorem 1.1), called symplectic bases. Moreover (Theorem 2.1), if ( , φ ) is an 𝒜 -module (with respect to a -algebra sheaf 𝒜 without zero divisors) equipped with an orthosymmetric 𝒜 -morphism, we show, like in the classical...

The tensor product of triples as multilinear product.

José L. Freire Nistal, Miguel A. López López (1993)

Revista Matemática de la Universidad Complutense de Madrid

In this paper we introduce a notion of multilinear product for triples in Set, which if it is given by a distributive law then coincides with the one given by Bunge. We also demonstrate that the tensor product of two triples, if there exists, is an initial object in a suitable category of multilinear products.

The two-square lemma.

Temple H. Fay, Keith A. Hardie, Peter J. Hilton (1989)

Publicacions Matemàtiques

A new proof is given of the connecting homomorphism.

Currently displaying 181 – 200 of 277