Simple and hyperhypersimple vector spaces1

Publisher： Cambridge University Press

E-ISSN： 1943-5886|43|2|260-269

ISSN： 0022-4812

Source： The Journal of Symbolic Logic, Vol.43, Iss.2, 1978-06, pp. : 260-269

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Abstract

Let V ∞ be a fixed, fully effective, infinite dimensional vector space. Let be the lattice consisting of the recursively enumerable (r.e.) subspaces of V ∞, under the operations of intersection and weak sum (see §1 for precise definitions). In this article we examine the algebraic properties of .

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