Brylawski’s Decomposition of NBC Complexes of Abstract Convex Geometries and Their Associated Algebras

The free complex of a two-dimensional generalized convex shelling

In this article, we study two open problems posed by Edelman & Reiner about topology of certain simplicial complexes associated with abstract convex geometries. As a special case, we concentrate on generalized convex shellings, which were introduced by Kashiwabara, Nakamura & Okamoto for their representation theorem of abstract convex geometries. We answer one of the problems affirmatively for ...

On Isomorphism of Simplicial Complexes and Their Related Algebras

A class of certain properties of approximately n-multiplicative maps between locally multiplicatively convex algebras

‎We extend the notion of approximately multiplicative to approximately n-multiplicative maps between locally multiplicatively convex algebras and study some properties of these maps‎. ‎‎W‎e prove that every approximately n-multiplicative linear functional on a functionally continuous locally multiplicatively convex algebra is continuous‎. ‎We also study the relationship between approximately mu...

Certain subalgebras of Lipschitz algebras of infinitely differentiable functions and their maximal ideal spaces

We study an interesting class of Banach function algebras of innitely dierentiable functions onperfect, compact plane sets. These algebras were introduced by Honary and Mahyar in 1999, calledLipschitz algebras of innitely dierentiable functions and denoted by Lip(X;M; ), where X is aperfect, compact plane set, M = fMng1n=0 is a sequence of positive numbers such that M0 = 1 and(m+n)!Mm+n ( m!Mm)...

Microwave-assisted Decomposition of two Simple Zinc(II) Schiff Base Complexes: A Facile and Fast Route to Synthesize ZnO Nanostructures

ZnO nanorods and nanoparticles have been easily prepared via the decomposition of two simple Schiff base zinc (II) complexes, namely (N,N'–disalicylalethylenediamine)zince(II) and (N,N'–disalicylalphenylenediamine)zince(II) under microwave irradiation. The decomposition products of the complexes were characterized by FT-IR, XRD, SEM, EDX and UV-visible spectroscopy.  FT-IR, XRD and EDX results ...