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Complementing lattice-ordered groups: The projectable case (1990)

Conrad, Paul ; Martinez, Jorge

Springer

Order 7 (1990), S. 183-203

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ISSN: 1572-9273

Keywords: 06C15 ; 06B25 ; Complementation ; projectable l-groups

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract A complemented l-group G is one in which to each a ∈ G there corresponds a b ∈ G so that |a|⋏|b|=0, while |a|⋎|b| is a unit of G. For projectable l-groups this is so precisely when the group possesses a unit. The article introduces the notion of complementation, and the situation for projectable l-groups is analyzed in some detail; in particular, it is shown that any projectable l-group having a projectable complementation in which it is convex has a unique maximal one of this kind.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00383766

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