AMS Mathematics Subject Classification (2000): 05D10, 05C55, 22A10, 22A05, 22F05, 37B05, 37F20, 54H20.

For a complex analytic map f from n-space to p-space with n < p and with an isolated instability at the origin, the disentanglement of f is a local stabilization of f that is analogous to the Milnor fibre for functions. For mono-germs it is known that the disentanglement is a wedge of spheres of possibly varying dimensions. In this paper we give a condition that allows us to deduce that the sam...

In this paper we investigate a property of the algebras of complexes (or power algebras or globals) which is a natural generalization of the notion of having all subgroups to be quasinormal in group theory. We say that an algebra A has the complex algebras of subalgebras if the set of all non-empty subuniverses of this algebra forms a subuniverse of the algebra of complexes of A. For example, a...

We consider some properties of indefinite binary quadratic forms F (x, y) = ax +bxy−y of discriminant ∆ = b +4a, and quadratic ideals I = [a, b−√∆ ]. AMS Mathematics Subject Classification (2000): 11E04, 11E12, 11E16

We onsider ”Riesz Theorem” in the 2-inner product spaces and give some results in this field. Also, we give some characterizations about 2-inner product spaces in b-approximation theory. AMS Mathematics Subject Classification (2000): 41A65, 41A15

Examples of simple, separable, unital, purely infinite C–algebras are constructed, including: (1) some that are not approximately divisible; (2) those that arise as crossed products of any of a certain class of C∗–algebras by any of a certain class of non–unital endomorphisms; (3) those that arise as reduced free products of pairs of C–algebras with respect to any from a certain class of states...

In this paper we consider a Robin-type Laplace operator on bounded domains. We study the dependence of its lowest eigenvalue on the boundary conditions and its asymptotic behaviour in shrinking and expanding domains. For convex domains we establish two-sided estimates on the lowest eigenvalues in terms of the inradius and of the boundary conditions. AMS Mathematics Subject Classification: 47F05...

In this paper, we introduce the concept of reinforcement number with respect to half-domination and initiate a study on parameter. Furthermore, obtain various upper bounds for AMS subject classification: 05C38, 05C40, 05C69.

October 4, 2004 email: [email protected] AMS (MOS) subject classification: 65M05, 65M10, 86-08.

We describe a slight modi cation of the well-known sequential quadratic programming method for nonlinear programming that attains superlinear convergence to a primal-dual solution even when the Jacobian of the active constraints is rank de cient at the solution. We show that rapid convergence occurs even in the presence of the roundo errors that are introduced when the algorithm is implemented ...