On $^{\ast }$-rings satisfying the square root axiom
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- by Shûichirô Maeda PDF
- Proc. Amer. Math. Soc. 52 (1975), 188-190 Request permission
Abstract:
It was mentioned by Kaplansky that the parallelogram law is a key property for developing the dimension theory on the lattice of projections of a Baer $^{\ast }$-ring, and he proved that this law follows from a pair of axioms: the EP and SR axioms. In this paper, it is shown that this law follows from only the SR axiom.References
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- Shûichirô Maeda, On the lattice of projections of a Baer $^*$-ring, J. Sci. Hiroshima Univ. Ser. A 22 (1958), 75–88 (1958). MR 105378
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 52 (1975), 188-190
- MSC: Primary 16A28; Secondary 06A30
- DOI: https://doi.org/10.1090/S0002-9939-1975-0371941-4
- MathSciNet review: 0371941