On *-rings satisfying the square root axiom

Maeda, Shûichirô

doi:10.1090/S0002-9939-1975-0371941-4

On $^{\ast }$-rings satisfying the square root axiom
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by Shûichirô Maeda

Proc. Amer. Math. Soc. 52 (1975), 188-190

DOI: https://doi.org/10.1090/S0002-9939-1975-0371941-4

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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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