PASEKA, Jan. NOTE ON DISTRIBUTIVE POSETS. MATHEMATICS FOR APPLICATIONS. Brno, 2012, vol. 1, No 1, p. 197–206. ISSN 1805-3610.
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Basic information
Original name NOTE ON DISTRIBUTIVE POSETS
Authors PASEKA, Jan (203 Czech Republic, guarantor, belonging to the institution).
Edition MATHEMATICS FOR APPLICATIONS, Brno, 2012, 1805-3610.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Czech Republic
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/00216224:14310/12:00063802
Organization unit Faculty of Science
Keywords in English distributive poset; distributive ideal; Heyting algebra
Tags AKR, rivok
Tags International impact, Reviewed
Changed by Changed by: prof. RNDr. Jan Paseka, CSc., učo 1197. Changed: 14/2/2013 14:03.
Abstract
In this note we study distributive posets. We discuss several notions of distributivity in posets and show their equivalence. Moreover, the Prime Ideal Theorem for Distributive Posets is shown to be equivalent with the famous Prime Ideal Theorem for Distributive Lattices using distributive ideal approach.
Links
EE2.3.20.0051, research and development projectName: Algebraické metody v kvantové logice
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