On the structure of a class of archimedean lattice-ordered algebras
M. Henriksen, D. Johnson (1961)
Fundamenta Mathematicae
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Displaying similar documents to “Maximal lattice-ordered algebras of continuous functions”
On the structure of a class of archimedean lattice-ordered algebras
C-S-maximal superassociative systems
H. Länger (1978)
Fundamenta Mathematicae
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Maximal pseudocompact spaces and the Preiss-Simon property
Ofelia Alas, Vladimir Tkachuk, Richard Wilson (2014)
Open Mathematics
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We study maximal pseudocompact spaces calling them also MP-spaces. We show that the product of a maximal pseudocompact space and a countable compact space is maximal pseudocompact. If X is hereditarily maximal pseudocompact then X × Y is hereditarily maximal pseudocompact for any first countable compact space Y. It turns out that hereditary maximal pseudocompactness coincides with the Preiss-Simon property in countably compact spaces. In compact spaces, hereditary MP-property is invariant...
Rings of continuous functions with values in an archimedean ordered field
G. de Marco, R. G. Wilson (1970)
Rendiconti del Seminario Matematico della Università di Padova
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On a class of subalgebras of C(X) with applications to βX
Donald Plank (1969)
Fundamenta Mathematicae
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The Bourbaki integral as maximal integral
Frank Terpe (1971)
Colloquium Mathematicae
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A general realcompactification method
J. van der Slot (1970)
Fundamenta Mathematicae
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Existence and non-existence of maximal solutions for y" = f(x, y, y') *
J. W. Bebernes, Steven K. Ingram (1971)
Annales Polonici Mathematici
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Note on intersections of maximal clones.
Doroslovački, Rade, Pantović, Jovanka, Vojvodić, Gradimir (1999)
Novi Sad Journal of Mathematics
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Which fields have no maximal subrings ?
A. Azarang, O. A. S. Karamzadeh (2011)
Rendiconti del Seminario Matematico della Università di Padova
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Maximal subalgebra of Douglas algebra.
Gullory, Carroll J. (1988)
International Journal of Mathematics and Mathematical Sciences
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Pervasive algebras and maximal subalgebras
Pamela Gorkin, Anthony G. O'Farrell (2011)
Studia Mathematica
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A uniform algebra A on its Shilov boundary X is maximal if A is not C(X) and no uniform algebra is strictly contained between A and C(X). It is essentially pervasive if A is dense in C(F) whenever F is a proper closed subset of the essential set of A. If A is maximal, then it is essentially pervasive and proper. We explore the gap between these two concepts. We show: (1) If A is pervasive and proper, and has a nonconstant unimodular element, then A contains an infinite descending chain...