A construction of Boolean algebras from first-order structures

作者: Sabine Koppelberg

DOI: 10.1016/0168-0072(93)90095-U

关键词:

摘要: Abstract We give a construction assigning classes of Boolean algebras to first-order theories; several considered previously in the literature can be thus obtained. In particular it turns out that class semigroup defined this way, fact by Horn theory, and is largest theory.

参考文章(13)
Murray G. Bell, The space of complete subgraphs of a graph Commentationes Mathematicae Universitatis Carolinae. ,vol. 023, pp. 525- 536 ,(1982)
Gary Brenner, Donald Monk, Tree algebras and chains Springer Berlin Heidelberg. pp. 54- 66 ,(1983) , 10.1007/BFB0063429
Lutz Heindorf, Boolean semigroup rings and exponentials of compact zero-dimensional spaces Fundamenta Mathematicae. ,vol. 135, pp. 37- 47 ,(1990) , 10.4064/FM-135-1-37-47
Robert Bonnet, James Donald Monk, Sabine Koppelberg, Handbook of Boolean Algebras ,(1989)
Elliot Evans, The Boolean ring universal over a meet semilattice Journal of The Australian Mathematical Society. ,vol. 23, pp. 402- 415 ,(1977) , 10.1017/S1446788700019558
Gary Brenner, A simple construction for rigid and weakly homogeneous Boolean algebras answering a question of Rubin Proceedings of the American Mathematical Society. ,vol. 87, pp. 601- 606 ,(1983) , 10.1090/S0002-9939-1983-0687625-3
Thomas C. Craven, The Boolean space of orderings of a field Transactions of the American Mathematical Society. ,vol. 209, pp. 225- 235 ,(1975) , 10.1090/S0002-9947-1975-0379448-X
Jan Van Mill, Jan. van Mill (Mathematiker, Niederlande), Jan. van Mill (Mathematician, Netherlands), Jan. van Mill (Mathématicien, Pays-Bas), Supercompactness and Wallman spaces ,(1977)
E V Shchepin, Topology of Limit Spaces of Uncountable Inverse Spectra Russian Mathematical Surveys. ,vol. 31, pp. 155- 191 ,(1976) , 10.1070/RM1976V031N05ABEH004195