AMS Mathematics Subject Classification (2000): 41A55, 33C45, 33C47, 42C05, 65D30, 65D32

Received October 18, 2007. 2000 Mathematics Subject Classification. Primary 49J45, 74K15.

m-parametrizable algebras are characterized by a projectiveness property. Mathematics Subject Classification (2000): 08A99.

In this paper we offer new representations for Drazin inverse of block matrix, which recover some representations from current literature on this subject. 2000 Mathematics Subject Classification: 15A09

The paper deals with natural generalizations of the Hardy-SobolevMaz’ya inequality and some related questions, such as the optimality and stability of such inequalities, the existence of minimizers of the associated variational problem, and the natural energy space associated with the given functional. 2000 Mathematics Subject Classification. 35J20, 35J60, 35J70, 49R50.

KEY WORDS, SUBJECT CLASSIFICATION The manuscript must be accompanied by a brief abstract, no longer than 100-150 words. It should make minimal use of mathematical symbols and displayed formulas. Mathematics Subject Classification (2000) with primary (and secondary) subject classification codes and a list of 4-5 key words must be given.

In this note an extension-type theorem for null-additive fuzzy measures is proved. AMS Mathematics Subject Classification (2000): 28A25

We construct quasigroup-based hybrid of a code and a cipher. 2000 Mathematics Subject Classification: 94A60, 20N05, 20N15.

Mathematics Subject Classification 2000: 39A11, 93B52, 92B20 General Terms: Asymptotic Stability, Lyapunov Second Method, Hopfield Neural Networks Additional

Received by the editors September 18, 2002. 2000 Mathematics Subject Classification. Primary 35L60; Secondary 35B35, 35B45, 35K55, 35L65, 76L05.