V.N. Salii. Lattices with Unique Complements. AMS, Providence, RI, 1988. Home/Search Document Not in Database Summary Related Articles |
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A Relational Algebra for Complex Objects Based on Partial.. - Libkin (1991) (10 citations) (Correct)
....from p(x) and p(x) i.e. x = p(x) p(x) That means that in order to introduce complements, we have to require that all principal ideals #x in D be complemented lattices. Moreover, they must be uniquely complemented since we want to speak about the complement. The next result easily follows from [19]. Proposition 5 Any principal ideal of a domain D is a uniquely complemented lattice iff D is a qualitative domain. 2 Let D be a qualitative domain and S D be a scheme. Consider the set I S = fp S (x) x 2 D max g, where p S (x) is the complement of p S (x) in #x. We would like I S to be the ....
V.N. Salii. Lattices with Unique Complements. AMS, Providence, RI, 1988.
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