Vol. 61, No. 1, 1975

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Full convex l-subgroups and the existence of a-closures of lattice ordered groups

Richard Neal Ball

Vol. 61 (1975), No. 1, 7–16
Abstract

An affirmative answer to the question of whether an arbitrary lattice-ordered group has an a-closure is the main result of this paper. This result is obtained by first introducing the notion of a full convex l-subgroup which is closely analogous to the notion of a closed convex l-subgroup.

Mathematical Subject Classification
Primary: 06A55, 06A55
Milestones
Received: 31 January 1975
Published: 1 November 1975
Authors
Richard Neal Ball