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On primal algebras

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References

  1. A. L. Foster,Generalized ‘Boolean’ theory of universal algebras, Part I: Subdirect sums and normal representation theorem, Math. Z.58 (1953), 303–336.

    Article  MathSciNet  Google Scholar 

  2. A. L. Foster,Generalized ‘Boolean’ theory of universal algebras, Part II: Identities and subdirect sums of functionally complete algebras, Math. Z.59 (1953), 191–199.

    Article  MATH  MathSciNet  Google Scholar 

  3. A. L. Foster,Generalized equational maximality and primal-in-the-small algebras, Math. Z.79 (1962), 127–146.

    Article  MATH  MathSciNet  Google Scholar 

  4. A. L. Foster, and A. Pixley,Semi-categorical algebras. I. Semi-primal algebras, Math. Z.83 (1964), 147–169.

    Article  MATH  MathSciNet  Google Scholar 

  5. M. I. Gould and G. Grätzer,Boolean extensions and normal subdirect powers of finite universal algebras, Mat. Z.99 (1967), 16–25.

    Article  MATH  Google Scholar 

  6. G. Grätzer,Universal algebra, van Nostrand (1968).

  7. B. Jonsson,Algebras whose congruence lattices are distributive, Math. Scand.21 (1967), 110–121.

    MATH  MathSciNet  Google Scholar 

  8. N. H. McCoy, and D. Montgomery,A representation of generalized Boolean rings, Duke Math. J.3 (1937), 455–459.

    Article  MathSciNet  Google Scholar 

  9. P. C. Rosenbloom,Post algebras I. Postulates and general theory, Amer. J. Math.64 (1942), 167–188.

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  11. L. I. Wade,Post algebras and rings, Duke Math. J.12 (1945), 389–395.

    Article  MathSciNet  Google Scholar 

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The author is grateful for several useful remarks from the referee.

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Krauss, P. On primal algebras. Algebra Univ. 2, 62–67 (1972). https://doi.org/10.1007/BF02945008

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