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On multilattice groups

Published online by Cambridge University Press:  24 October 2008

D. B. McAlister
D. B. McAlister
Affiliation:
Queen's University, Belfast
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Extract

Multilattice groups have been introduced by Benado ((1)) and considered by Vaida ((9)), who has initiated the study of the structure of a class of these groups. The purpose of this paper is to further the investigation begun by Vaida.

Basic in the work contained here is the set H consisting of the differences between the minimal upper bounds of pairs of elements of a multilattice group G. By means of conditions imposed on G and based on H, we determine the structure of the congruence relations on a multilattice group and study direct sums and lexicographic products and extensions of such groups (sections 2, 3).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 61 , Issue 3 , July 1965 , pp. 621 - 638
Copyright
Copyright © Cambridge Philosophical Society 1965

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References

REFERENCES

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