Author： Yun Shang Yongming Li Maoyin Chen
Publisher： Springer Publishing Company
ISSN： 0020-7748
Source： International Journal of Theoretical Physics, Vol.43, Iss.12, 2004-12, pp. : 2447-2460
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Abstract
The definitions of pseudo difference posets, pseudo boolean D-posets, and D-ideals are introduced. It is proved that pseudo difference posets are algebraically equivalent to pseudo effect algebras and pseudo boolean D-posets are algebraically equivalent to pseudo MV-algebras. In pseudo difference lattices, a D-ideal is equal to a Riesz ideal. At the same time, some good properties are obtained.
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