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Characterizing f-rings

Published online by Cambridge University Press:  18 May 2009

Peter D. Colville
Peter D. Colville
Affiliation:
Ballarat Institute of Advanced Education, Mt. Helen, Victoria 3350, Australia
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Birkhoff and Pierce [2] introduced the class f-rings—those lattice-ordered rings R which satisfy the additional condition that if a, b, and c are positive elements of R and if a ∧ b = 0, then ac ∧ b = 0 = ca ∧ b. They showed that f-rings may be characterized as lattice-ordered rings which are subdirect products of totally-ordered rings.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 16 , Issue 2 , September 1975 , pp. 88 - 90
Copyright
Copyright © Glasgow Mathematical Journal Trust 1975

References

REFERENCES

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