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Regular elements and normal elements in effect algebras.
- 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