Notes on mildly distributive semilattices
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Sergio Arturo Celani
und
Luciano Javier González
Abstract
In this paper we shall investigate the mildly distributive meet-semilattices by means of the study of their filters and Frink-ideals as well as applying the theory of annihilator. We recall some characterizations of the condition of mildly-distributivity and we give several new characterizations. We prove that the definition of strong free distributive extension, introduced by Hickman in 1984, can be simplified and we show a correspondence between (prime) Frink-ideals of a mildly distributive semilattice and (prime) ideals of its strong free distributive extension.
This work was supported by CONICET Grant No. PIP 112-201101-00636.
Acknowledgement
We greatly appreciate the comments and suggestions of a referee that helped to improve the paper.
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© 2017 Mathematical Institute Slovak Academy of Sciences
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Artikel in diesem Heft
- Cyclic and rotational latin hybrid triple systems
- Notes on mildly distributive semilattices
- On generalized completely distributive posets
- Properties of non-associative MV-algebras
- On the upper and lower exponential density functions
- Quadratic permutations, complete mappings and mutually orthogonal latin squares
- On F-groups with the central factor of order p4
- Comparison of some families of real functions in porosity terms
- Negative interest rates: why and how?
- Homoclinic and heteroclinic motions in hybrid systems with impacts
- Some fixed point theorems in Branciari metric spaces
- S-essential spectra and measure of noncompactness
- Unified approach to graphs and metric spaces
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- A class of topological spaces between the classes of regular and urysohn spaces
- On The betti numbers of oriented Grassmannians and independent semi-invariants of binary forms
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