Permutation representation of groups with Boolean orthogonalities

Journal of the Australian Mathematical Society

Gary Davis¹ 

关键词: primary 54 H 10;    secondary 06 F 15;    54 H 15;    57 S 99;   

DOI  :  10.1017/S1446788700017894

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Reduced rings and lattice-ordered groups are examples of groups with Boolean orthogonalities. In this note we show that any group with a Boolean orthogonality satisfying a finiteness condition introduced by Stewart is isomorphic with a group of homeomorphisms of a topological space, in which two homeomorphisms are orthogonal if and only if they have disjoint supports.

【 授权许可】

Unknown