Complex and real vector bundle monomorphisms

Supermanifolds Corresponding to the Trivial Vector Bundle over Complex Torus

Monomorphisms of Coalgebras

In any concrete category C the natural problem of whether epimorphisms are surjective maps arise, as well as the dual problem of whether the monomorphisms are injective maps. This type of problems have already been studied before in several well known categories: for example in [6] it is shown that the property of epimorphisms of being surjective holds in the categories of von Neumann algebras,...

Monomorphisms between Cayley-Dickson Algebras

In this paper we study the algebra monomorphisms from Am = R 2m into An = R 2n for 1 ≤ m ≤ n, where An are the Cayley-Dickson algebras. For n ≥ 4, we show that there are many types of monomorphisms and we describe them in terms of the zero divisors in An.

Real vs. Complex Null Space Properties for Sparse Vector Recovery

We identify and solve an overlooked problem about the characterization of underdetermined systems of linear equations for which sparse solutions have minimal `1-norm. This characterization is known as the null space property. When the system has real coefficients, sparse solutions can be considered either as real or complex vectors, leading to two seemingly distinct null space properties. We pr...

On Strong Monomorphisms and Strong Epimorphisms

M. A. Al Shumrani Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia Correspondence should be addressed to M. A. Al Shumrani, [email protected] Received 10 March 2010; Accepted 5 May 2010 Academic Editor: Mihai Putinar Copyright q 2010 M. A. Al Shumrani. This is an open access article distributed under the Creative Commons Attribution License,...