Kalmbach measurability in D-lattices

Author:

Avallone Anna,Vitolo PaoloORCID

Abstract

AbstractWe extend to D-lattices the definition of Kalmbach measurable elements with respect to an outer measure $$\mu $$ μ . We prove, in case $$\mu $$ μ is faithful, that Kalmbach measurable elements are central, thus generalizing a result known for orthomodular lattices.

Funder

Università degli Studi della Basilicata

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Theoretical Computer Science,Software

Reference14 articles.

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3. Avallone A, Vitolo P (2009) Lyapunov decomposition of measures on effect algebras. Sci Math Jpn 69(1):79–87

4. Avallone A, Barbieri G, Vitolo P (2003) Hahn decomposition of modular measures and applications. Ann Soc Math Pol Ser I Comment Math 43:149–168

5. Avallone A, De Simone A, Vitolo P (2006) Effect algebras and extensions of measures. Boll dell’Unione Matematica Italiana 9(2):423–444

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Permutability of Congruences on d$$_{0}$$-Algebras;International Journal of Theoretical Physics;2024-07-18

2. Kalmbach measurability In d0-algebras;Mathematica Slovaca;2022-12-01

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