Pseudo Difference Posets and Pseudo Boolean D-Posets

Authors: Shang Yun¹; Li Yongming²; Chen Maoyin³

Source: International Journal of Theoretical Physics, Volume 43, Number 12, December 2004 , pp. 2447-2460(14)

Publisher: Springer

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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.

Keywords: pseudo difference posets; pseudo boolean D-posets; MV-algebras; D-ideals

Document Type: Research article

DOI: http://dx.doi.org/10.1007/s10773-004-7710-7

Affiliations: 1: College of Mathematics and Information Science, Shaanxi Normal University, Xi’an, P. R. China, Email: shangyun602@163.com 2: College of Mathematics and Information Science, Shaanxi Normal University, Xi’an, P. R. China, 3: Department of Automation, Tsinghua University, Beijing, P. R. China,

Publication date: 2004-12-01