Compact representations of BL-algebras

被引：0
作者：
Antonio Di Nola
Laurenţiu Leuştean
机构：
[1] Università di Salerno,Facoltà di Scienze, Dipartimento di Matematica e Informatica
[2] National Institute for Research and Development in Informatics,undefined
来源：
Archive for Mathematical Logic | 2003年 / 42卷
关键词：
BL-algebras; Basic logic; Sheaf representations; Gelfand duality;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we define sheaf spaces of BL-algebras (or BL-sheaf spaces), we study completely regular and compact BL-sheaf spaces and compact representations of BL-algebras and, finally, we prove that the category of non-trivial BL-algebras is equivalent with the category of compact local BL-sheaf spaces.
引用
收藏
页码：737 / 761
页数：24
相关论文
共 15 条
[1]  
Cornish A.(1972)Compact and Pierce representations of MV-algebras J. Austral. Math. Soc., 14 200-618
[2]  
Davey G.(1973)Some abstract maximal-ideal like spaces Math. Z. 134 275-102
[3]  
Nola G.(2000)BL-algebras of basic fuzzy logic J. Math. Anal. Appl. 251 106-61
[4]  
Filipoiu I.(1995)Lattices and topological spaces Rev. Roum. Math. Pures Appl. 40 599-126
[5]  
Georgescu E.(1939)undefined Dokl. Akad. Nauk. SSSR 22 11-undefined
[6]  
Gelfand H.(2002)undefined J. Austral. Math. Soc., 73 127-undefined
[7]  
Georgescu undefined(1989)undefined Algebra Univers. 26 90-undefined
[8]  
Georgescu undefined(1978)undefined J. Algebra 52 411-undefined
[9]  
Voiculescu undefined(1979)undefined J. Algebra 56 499-undefined
[10]  
Mulvey undefined(11)undefined Indian J. Pure Appl. Math. 24 651-undefined
12