NIEDERLE, Josef. Ideals in ordered sets, a unifying approach. Rendiconti del Circolo Matematico di Palermo. Palermo, 2006, vol. 55, No 1, p. 287-295. ISSN 0009-725X.
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Basic information
Original name Ideals in ordered sets, a unifying approach
Name in Czech Ideály v uspořádaných množinách, jednotný přístup
Authors NIEDERLE, Josef (203 Czech Republic, guarantor).
Edition Rendiconti del Circolo Matematico di Palermo, Palermo, 2006, 0009-725X.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Italy
Confidentiality degree is not subject to a state or trade secret
RIV identification code RIV/00216224:14310/06:00016191
Organization unit Faculty of Science
Keywords in English algebraic topped intersection structure; ideal; pseudoideal; Frink ideal; Doyle pseudoideal; S-ideal; prime S-ideal; S-distributive ordered set; prime S-ideal theorem
Tags algebraic topped intersection structure, Doyle pseudoideal, Frink ideal, ideal, prime S-ideal, prime S-ideal theorem, pseudoideal, S-distributive ordered set, S-ideal
Changed by Changed by: doc. RNDr. Josef Niederle, CSc., učo 354. Changed: 21/12/2006 15:06.
Abstract
A common generalization of different notions of ideals met in literature together with the associated notions of distributivity in ordered sets are studied. A restricted prime ideal theorem is proved. Moreover, a new characterization of algebraic topped intersection structures is presented.
Abstract (in Czech)
Jde o zobecnění různých pojmů ideálu vyskytujících se v literatuře.
Links
GA201/02/0148, research and development projectName: Kategoriální metody teorie struktur a informatiky
Investor: Czech Science Foundation, Categorical Methods of the Theory of Structures and Computer Science
PrintDisplayed: 29/7/2024 15:18