On weak Agassiz systems of algebras
Ewa Graczyńska, Andrzej Wroński (1978)
Colloquium Mathematicum
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Displaying similar documents to “The class of algebras in which weak independence is equivalent to direct sums independence”
On weak Agassiz systems of algebras
On weak isomorphisms and weak homomorphisms of abstract algebras
A. Goetz (1966)
Colloquium Mathematicae
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Simple C*-algebras with the property weak (FU).
N. Christopher Phillips (1991)
Mathematica Scandinavica
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The weak hereditary class of a variety
Wiktor Bartol, Francesc Rosselló (2006)
Czechoslovak Mathematical Journal
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We study the weak hereditary class of all weak subalgebras of algebras in a total variety . We establish an algebraic characterization, in the sense of Birkhoff’s HSP theorem, and a syntactical characterization of these classes. We also consider the problem of when such a weak hereditary class is weak equational.
Total Algebras and Weak Independence. II.
Alfred L. Foster, Alden F. Pixley (1972)
Mathematische Zeitschrift
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Total Algebras and Weak Independence. I.
Alfred L. Foster, Alden Pixley (1971)
Mathematische Zeitschrift
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Marczewski independence in mono-unary algebras
James S. Johnson (1969)
Colloquium Mathematicae
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Equational compactness in infinitary algebras
Bernhard Banaschewski, Evelyn Nelson (1973)
Colloquium Mathematicae
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A general existence theorem on partial algebras and its special cases
J. Schmidt (1966)
Colloquium Mathematicae
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Sequence spaces with exponent weights. Realizations of Colombeau type algebras
Antoine Delcroix, Maximilian F. Hasler, Stevan Pilipović, Vincent Valmorin
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We give a description of various algebras of generalized functions based on the introduction of pseudo-ultranorms on spaces of sequences in given locally convex function algebras. We study sheaf properties of these algebras, needed for microlocal analysis, and also consider regularity theory, functoriality and different concepts of association and weak equality in a unified setting. Using this approach, we also give new results on embeddings of ultradistribution and hyperfunction spaces...
Relativization of cylindric algebras
Leon Henkin, Diane Resek (1975)
Fundamenta Mathematicae
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Even equations and Agassiz sums
Jacek Kuras (1987)
Colloquium Mathematicae
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Bounded elements in certain topological partial *-algebras
Jean-Pierre Antoine, Camillo Trapani, Francesco Tschinke (2011)
Studia Mathematica
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We continue our study of topological partial *-algebras, focusing on the interplay between various partial multiplications. The special case of partial *-algebras of operators is examined first, in particular the link between strong and weak multiplications, on one hand, and invariant positive sesquilinear (ips) forms, on the other. Then the analysis is extended to abstract topological partial *-algebras, emphasizing the crucial role played by appropriate bounded elements, called ℳ-bounded....
The class of 2-dimensional neat reducts is not elementary
Tarek Sayed Ahmed (2002)
Fundamenta Mathematicae
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SC, CA, QA and QEA stand for the classes of Pinter's substitution algebras, Tarski's cylindric algebras, Halmos' quasipolyadic algebras and Halmos' quasipolyadic algebras with equality, respectively. Generalizing a result of Andréka and Németi on cylindric algebras, we show that for K ∈ SC,QA,CA,QEA and any β > 2 the class of 2-dimensional neat reducts of β-dimensional algebras in K is not closed under forming elementary subalgebras, hence is not elementary. Whether this result extends...