Kalmbach measurability In d<sub>0</sub>-algebras-Reference-Cited by-同舟云学术

Kalmbach measurability In d₀-algebras

Published:2022-12-01 Issue:6 Volume:72 Page:1387-1402
ISSN:0139-9918
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Avallone Anna¹,Vitolo Paolo¹

Affiliation:

1. Dipartimento di Matematica, Informatica ed Economia , Università della Basilicata , Viale dell’Ateneo Lucano, 10, 85100 , Potenza , Italy

Abstract

Abstract We introduce the notion of ∧-projection in order to extend to d0-algebras the concept of Kalmbach measurable elements with respect to an outer measure μ. We prove, in case μ is faithful, that Kalmbach measurable ∧-projections are quasi-central, thus generalizing a result known for orthomodular lattices, and recently extended to D-lattices.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2022-0095/pdf

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