Fuzzy Galois connections categorically

被引：14

作者：

Gutierrez Garcia, Javier ^{[2
]}

Mardones-Perez, Iraide ^{[2
]}

de Prada Vicente, Maria Angeles ^{[2
]}

Zhang, Dexue ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

[2] Univ Pais Vasco Euskal Herriko Unibertsitatea, Dept Matemat, Bilbao 48080, Spain

来源：

MATHEMATICAL LOGIC QUARTERLY | 2010年 / 56卷 / 02期

关键词：

Unital quantale; category enriched over a unital quantale; Omega-adjunction; Omega-relation; covariant fuzzy Galois connection; contravariant fuzzy Galois connection; Girard quantale; SPACES;

D O I：

10.1002/malq.200810044

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper presents a systematic investigation of fuzzy (non-commutative) Galois connections in the sense of R. Belohlavek [1], from the point of view of enriched category theory. The results obtained show that the theory of enriched categories makes it possible to present the theory of fuzzy Galois connections in a succinct way; and more importantly, it provides a useful method to express and to study the link and the difference between the commutative and the non-commutative worlds. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：131 / 147

页数：17

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