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Modular technique of parallel information processing

Selyaninov M.

Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

2008

Vol. 13

43-52

In the present paper, modular number systems (MNS) named also as residue number systems are investigated. Iii such systems, digits of output computation of arithmetical operations over two and more numbers are formed only by analogous digits of these numbers that is in parallel. Because of internal parallelism and short bit capacity of modular data encoding, specified property of MNS enables real possibility of creation on their basis of high-speed specialized data processors.

M-hyperquasivarieties

Graczyńska E., Schweigert D.

Demonstratio Mathematica

2006

Vol. 39, nr 1

33-42

We consider the notion of M-hyper-quasi-identities and M-hyperquasi-varieties, as a common generalization of the concept of quasi-identity (hyper-quasi-identity) and quasivariety (hyper-quasivariety) invented by A. I. Mal'cev, cf. [13], cf. [6] and hypervariety invented by the authors in [15], [8] and hy p erqu as i variety [9]. The results of this paper were presented on the 69th Workshop on General Algebra, held at Potsdam University (Germany) on March 18-20, 2005.