Oldřich Kowalski, Zdeněk Vlášek (1999)
Mathematica Bohemica
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The first author and F. Prufer gave an explicit classification of all Riemannian 3-manifolds with distinct constant Ricci eigenvalues and satisfying additional geometrical conditions. The aim of the present paper is to get the same classification under weaker geometrical conditions.
Ján Jakubík (1998)
Mathematica Bohemica
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In the present paper we deal with the existence of large homogeneous partially ordered sets having the property described in the title.
Jan Ligęza, Milan Tvrdý (1999)
Mathematica Bohemica
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From the fact that the unique solution of a homogeneous linear algebraic system is the trivial one we can obtain the existence of a solution of the nonhomogeneous system. Coefficients of the systems considered are elements of the Colombeau algebra of generalized real numbers. It is worth mentioning that the algebra is not a field.