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Regular elements and normal elements in effect algebras.

Authors :
LI Hai-yang
Source :
Basic Sciences Journal of Textile Universities / Fangzhi Gaoxiao Jichu Kexue Xuebao; jun2013, Vol. 26 Issue 2, p143-148, 6p
Publication Year :
2013

Abstract

In the paper, the concepts of regular elements and normal elements in effect algebras are introduced, and some properties of them are studied. Firstly, it is shown that C(E)⊂N(E)⊂P(E) and C(E)⊂N(E)⊂S(E), in which N(E) is the set of all normal elements in an effect algebra E and R(E) is the set of all regular elements in an effect algebra E. Secondly, it is proved that R(E),N(E) are all normal sub-effect algebras of E,N(E) is an orthomodular poset. Moreover, if E is a lattice effect algebra, then it is proved that R(E),N(E) are all full sub-lattices of E and N(E) is an orthomodular lattice. [ABSTRACT FROM AUTHOR]

Details

Language :
Chinese
ISSN :
10068341
Volume :
26
Issue :
2
Database :
Complementary Index
Journal :
Basic Sciences Journal of Textile Universities / Fangzhi Gaoxiao Jichu Kexue Xuebao
Publication Type :
Academic Journal
Accession number :
91541166