We study non-linear surjective mappings on subsets of Mn(F), which preserve the zeros of some fixed polynomials in noncommuting variables. Mathematics subject classification (2000): 15A99, 16W99.

We study the generalized Hyers-Ulam stability of the functional equation f[x1,x2,x3]= h(x1+x2+x3). 2000 Mathematics Subject Classification. 39B22, 39B82.

In this paper we give some sample properties involving quasiconvolution products of functions with negative coefficients. 2000 Mathematics Subject Classification: 30C45

Some fixed point theorems based on an asymptotic regularity condition have been obtained, which generalize the previously well-known results. 2000 Mathematics Subject Classification: 47H10, 54H25.

Estimates of the Bergman kernel and the Bergman and Kobayashi metrics on pseudoconvex domains near boundaries with constant Levi ranks are given. Mathematics Subject Classification (2000): 32F45; 32T27.

We construct a nil algebra over a countable field which has finite but non-zero Gelfand-Kirillov dimension. 2000 Mathematics subject classification: 16N, 16P90.

Some new elementary inequalities for the expectation and the variance of a continuous random variable defined on a finite interval are given. Mathematics subject classification (2000): 26D15, 60E15.

The generalized Hyers-Ulam-Rassias stability of generalized derivations on unital Banach algebras into Banach bimodules is established. ∗2000 Mathematics Subject Classification. Primary 39B82; Secondary 46H25, 39B52, 47B47.

We introduce the notion of fuzzy dot subalgebras in BCH-algebras, and study its various properties. 2000 Mathematics Subject Classification. 06F35, 03G25, 03E72.

We establish a result linking the Bouniakowsky conjecture and the density of polynomial roots to prime moduli. Mathematics Subject Classification (2000): 11B05, 11C08, 11K06, 11N32