E-perfect effect algebras.

Authors :: Xie, Yongjian
Li, Yongming
Yang, Aili
Source :: Soft Computing - A Fusion of Foundations, Methodologies & Applications. Nov2012, Vol. 16 Issue 11, p1923-1930. 8p.
Publication Year :: 2012
Abstract: The definition of E-perfect effect algebras is introduced, and their structure is studied. We study the lexicographical product of an effect algebra with any upwards directed partially ordered Abelian group, and we show that every E-perfect effect algebra is isomorphic with such a kind of the lexicographical product. [ABSTRACT FROM AUTHOR]

Subjects :: *EFFECT algebras
*LEXICOGRAPHY
*LEXICOGRAPHERS
*RIESZ spaces
*ISOMORPHISM (Mathematics)
*ABELIAN groups

Language :: English
ISSN :: 14327643
Volume :: 16
Issue :: 11
Database :: Academic Search Index
Journal :: Soft Computing - A Fusion of Foundations, Methodologies & Applications
Publication Type :: Academic Journal
Accession number :: 82504751
Full Text :: https://doi.org/10.1007/s00500-012-0865-x