On Completions of Posets with Operators

ZHANG, Xia, Jan PASEKA and Wen MA. On Completions of Posets with Operators. Journal of Multiple-Valued Logic and Soft Computing. Old City Publishing, 2022, vol. 38, 1-2, p. 227-243. ISSN 1542-3980.

Basic information

• Original name: On Completions of Posets with Operators
• Authors: ZHANG, Xia, Jan PASEKA (203 Czech Republic, belonging to the institution) and Wen MA.
• Edition: Journal of Multiple-Valued Logic and Soft Computing, Old City Publishing, 2022, 1542-3980.

Other information

• Original language: English
• Type of outcome: Article in a journal
• Field of Study: 10201 Computer sciences, information science, bioinformatics
• Country of publisher: United States of America
• Confidentiality degree: is not subject to a state or trade secret
• WWW: URL
• Impact factor: Impact factor: 1.300
• RIV identification code: RIV/00216224:14310/22:00119602
• Organization unit: Faculty of Science
• UT WoS: 000733593800011
• Keywords in English: poset with an operator; order-embedding; lax morphism; completion; sup-algebra; injective object; injective hull
• Tags: rivok
• Tags: International impact, Reviewed

Abstract

In this note, we study completions of posets with a closure operation. Firstly, we show that every such completion is injective in the category of posets with a closure operation with respect to a subclass of order embeddings. Moreover, we show how to construct injective hulls for arbitrary posets with a closure operation.

Links

• GA18-06915S, research and development project: Name: Nové přístupy k agregačním operátorům v analýze a zpracování dat

Investor: Czech Science Foundation