A note on the convexity of lattices generated by the set of nonnegative integers

In: Mathematica Slovaca, vol. 64, no. 3

Jozef Pócs

Detaily:

Rok, strany: 2014, 555 - 562

Kľúčové slová:

lattice, convexity, ultraproduct

DOI: https://doi.org/10.2478/s12175-014-0225-7

O článku:

A class of lattices is said to be a convexity if it is closed under homomorphic images, convex sublattices and direct products. The main aim of this paper is to show that convexity generated by nonnegative integers contains all ordinal numbers. Consequently, any two infinite ordinals generate the same convexity.

Ako citovať:

ISO 690:

Pócs , J. 2014. A note on the convexity of lattices generated by the set of nonnegative integers. In Mathematica Slovaca, vol. 64, no.3, pp. 555-562. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0225-7

APA:

Pócs , J. (2014). A note on the convexity of lattices generated by the set of nonnegative integers. Mathematica Slovaca, 64(3), 555-562. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0225-7

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