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Froemke, Jon

Maximal primal clusters are infinite. (English) Zbl 0251.08008

Math. Ann. 191, 99-120 (1971).
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MSC:

08Axx Algebraic structures
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References:

[1] Astromoff, A. B.: Some structure theorems for primal and categorical algebras. Math. Z.87, 365–377 (1965). · Zbl 0136.26201 · doi:10.1007/BF01111718
[2] Foster, A. L.: Generalized ”Boolean” theory of universal algebras, Part I: Subdirect sums and normal representation theorem. Math. Z.58, 306–336 (1953). · Zbl 0051.02201 · doi:10.1007/BF01174150
[3] —- Generalized ”Boolean” theory of universal algebras, Part II: Identities and subdirect sums of functionally complete algebras. Math. Z.59, 191–199 (1953). · Zbl 0051.26202 · doi:10.1007/BF01180250
[4] —- The identities of – and unique factorization within – certain classes of universal algebras. Math. Z.62, 171–188 (1955). · Zbl 0064.26301 · doi:10.1007/BF01180631
[5] The generalized Chinese remainder theorem for universal algebras; subdirect factorization. Math. Z.66, 452–469 (1957). · Zbl 0077.03705
[6] Froemke, Jon: Pairwise and general independence of abstract algebras. Submitted for publication. · Zbl 0237.08006
[7] Gratzer, George: Universal algebra. Princeton, New Jersey: D. Van Nostrand Co., Inc. 1969.
[8] O’Keefe, E. S.: On the independence of primal algebras. Math. Z.73, 79–94 (1960). · Zbl 0099.25901 · doi:10.1007/BF01163270
[9] —- Primal clusters of two-element algebras. Pac. J. Math.11, 1505–1510 (1961). · Zbl 0108.01802
[10] Rosenbloom, P. C.: Post algebras. I. Postulates and general theory. Am. J. Math.64, 167–188 (1942). · Zbl 0060.06701 · doi:10.2307/2371676
[11] Sioson, F. M.: Some primal clusters. Math. Z.75, 201–210 (1960/61). · Zbl 0095.02202 · doi:10.1007/BF01211020
[12] Yaqub, A.: Primal clusters. Pac. J. Math.16, 379–388 (1966). · Zbl 0136.26202
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