Abstract
Another well-known type of restriction for a lattice is presented by different conditions of complementability. In this chapter we focus our attention on two main conditions of this type: that of being a complemented lattice and that of being a relatively complemented lattice. Here, along with SubS, the semilattice Sub∨ S is considered as well. General reasons for considering Sub∨ S were noted in Subsections 4.1 and 4.3.
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© 1996 Springer Science+Business Media Dordrecht
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Shevrin, L.N., Ovsyannikov, A.J. (1996). Semigroups with Complementable Subsemigroups. In: Semigroups and Their Subsemigroup Lattices. Mathematics and Its Applications, vol 379. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8751-8_3
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DOI: https://doi.org/10.1007/978-94-015-8751-8_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4749-6
Online ISBN: 978-94-015-8751-8
eBook Packages: Springer Book Archive