p-Rings and their Boolean-vector representation

Alfred L. Foster

doi:10.1007/bf02414856

journal article Jan 01, 1951

p-Rings and their Boolean-vector representation

Alfred L. Foster

Acta Mathematica Vol. 84 pp. 231-261 · International Press of Boston

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References

9

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A. L. Foster,The n-ality theory of rings, Proc. of the Nat'l. Acad. of Sc., Vol 35 (1949). pp. 31–38. 10.1073/pnas.35.1.31

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,The idempotent elements of a commutative ring form a Boolean algebra; ring dualityand transformation theory, Duke Math. J., Vol 13 (1946), pp. 247–258. 10.1215/s0012-7094-46-01323-3

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The theory of Boolean-like rings

Alfred L. Foster

Transactions of the American Mathematical Society 1946 10.1090/s0002-9947-1946-0015045-5

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,On the n-ality theories in rings and their logical algebras, including tri-ality principle in three-valued logics, Amer. Journal of Math., Vol 72, No 1 (1950), pp. 101–123. 10.2307/2372137

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A. L. Foster,On the permutational representation of general sets of operations by partition lattices, Trans. of the Amer. Math. Soc., July, 1949. 10.2307/1990586

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, andB. A. Bernstein,A dual-symmetric-definition of field, Amer. Journal of Math., Vol 67 (1945), pp. 329–349. 10.2307/2371949

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,Symmetric approach to commutative rings, with duality theorem: Boolean duality as special case, Duke Math. Journal, Vol. 11 (1944), pp. 603–616. 10.1215/s0012-7094-44-01153-1

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N. H. Mc Coy andDeane Montgomery,A representation of generalized Boolean rings, Duke Math. Journal, Vol. 3 (1937), pp. 455–459. 10.1215/s0012-7094-37-00335-1

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M. H. Stone,The theory of representations for Boolean algebras, Trans. of the Amer. Math. Soc., Vol. 40 (1936), pp. 37–111.

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Embedding problems for modules and rings with application to Model-Companions

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References

Details

Published: Jan 01, 1951
Vol/Issue: 84
Pages: 231-261

Authors

A

Alfred L. Foster

Cite This Article

Alfred L. Foster (1951). p-Rings and their Boolean-vector representation. Acta Mathematica, 84, 231-261. https://doi.org/10.1007/bf02414856

p-Rings and their Boolean-vector representation

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