DIVISIBILITY AND CARDINAL FUNCTIONS RELATED TO QUOTIENT SYSTEMS

Authors
HU QP LI D LIN Y
Citation
Qp. Hu et al., DIVISIBILITY AND CARDINAL FUNCTIONS RELATED TO QUOTIENT SYSTEMS, Cybernetica, 40(2), 1997, pp. 95-102
Citations number
10
Categorie Soggetti
Ergonomics,"Controlo Theory & Cybernetics","Computer Science Cybernetics
Journal title
Cybernetica → ACNP
ISSN journal
00114227
Volume
40
Issue
2
Year of publication
1997
Pages
95 - 102
Database
ISI
SICI code
0011-4227(1997)40:2<95:DACFRT>2.0.ZU;2-K
Abstract
In this paper, the cardinal functions CF and QF are introduced. Some r elations between the cardinal functions of the original systems and qu otient systems are pointed out. It is shown that QF = CF and some resu lts concerning with divisibility of systems. As applications, we consi dered systems induced by algebras, and obtained relevant results. All these results can naturally be applied to systems, induced by groups, rings, lattices, etc.