Pacific Journal of Mathematics

Construction of the lattice of complemented ideals within the unit group.

J. Eldon Whitesitt

Article information

Source
Pacific J. Math., Volume 6, Number 4 (1956), 779-794.

Dates
First available in Project Euclid: 14 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1103043803

Mathematical Reviews number (MathSciNet)
MR0084492

Zentralblatt MATH identifier
0071.26201

Subjects
Primary: 09.3X

Citation

Whitesitt, J. Eldon. Construction of the lattice of complemented ideals within the unit group. Pacific J. Math. 6 (1956), no. 4, 779--794. https://projecteuclid.org/euclid.pjm/1103043803


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References

  • [1] Reinhold Baer, Linear algebra and protective geometry, Academic Press, New York, 1952.
  • [2] Gertrude Ehrlich, The structure of continuous rings, Dissertation, University of Ten- nessee, 1953.
  • [3] John von Neumann, Continuous geometry, (Notes by L. R. Wilcox on lectures at the Institute for Advanced Study). Vol. 2, planographed, Edwards Brothers, Ann Arbor, 1937.
  • [4] John von Neumann,On regular rings, Proc. Nat. Acad. Sci., 23 (1937), 707-713.