SOME RESULTS ON DIAGONAL-FREE TWO-DIMENSIONAL CYLINDRIC ALGEBRAS

被引:0
作者
Figallo, Martin [1 ]
机构
[1] Univ Nacl Sur, Dept Matemat, RA-8000 Bahia Blanca, Buenos Aires, Argentina
关键词
Diagonal free two dimensional cylindric algebra; finite algebras; lattice of subvarieties;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Formulas for computing the number of Df(2)- algebra structures that can be defined over B-n, where B-n is the Boolean algebra with n atoms, as well as the fine spectrum of Df(2) are obtained. Properties of the lattice of all subvarieties of Df(2), Lambda(Df(2)), are exhibited. In particular, the poset Si-fin(Df(2)) is described.
引用
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页码:3 / 15
页数:13
相关论文
共 9 条
[1]   Varieties of two-dimensional cylindric algebras. Part I: Diagonal-free case [J].
Bezhanishvili, N .
ALGEBRA UNIVERSALIS, 2002, 48 (01) :11-42
[2]  
Davey B.A, 1979, HOUSTON J MATH, V5, P183
[3]  
Figallo M., 2005, THESIS U NACL SUR
[4]   Finite diagonal-free two-dimensional cylindric algebras [J].
Figallo, Martin .
LOGIC JOURNAL OF THE IGPL, 2004, 12 (06) :509-523
[5]  
Henkin L., 1985, Cylindric Algebras. Part II
[6]  
Henkin L., 1971, Cylindric Algebras. Part I
[7]  
JONSSON B, 1967, MATH SCAND, V21, P110
[8]  
Monteiro L., 2006, REPORTS MATH LOGIC, V40, P199
[9]  
Taylor W, 1975, ALGEBR UNIV, V5, P263