Fortsetzungen extremaler Funktionale.
Hans O. Flösser (1975)
Mathematische Annalen
Richard N. Ball, Anthony W. Hager (2013)
Commentationes Mathematicae Universitatis Carolinae
“The kernel functor” from the category of archimedean lattice-ordered groups with distinguished weak unit onto LFrm, of Lindelöf completely regular frames, preserves and reflects monics. In , monics are one-to-one, but not necessarily so in LFrm. An embedding for which is one-to-one is termed kernel-injective, or KI; these are the topic of this paper. The situation is contrasted with kernel-surjective and -preserving (KS and KP). The -objects every embedding of which is KI are characterized;...
Dao-Rong Ton, Kai-Yao He (1994)
Mathematica Scandinavica
Jorge Martinez (1972)
Czechoslovak Mathematical Journal
Jorge Martinez (1973)
Czechoslovak Mathematical Journal
Ján Jakubík (1978)
Czechoslovak Mathematical Journal
Ján Jakubík (2003)
Czechoslovak Mathematical Journal
In this paper we deal with the of an -algebra , where and are nonzero cardinals. It is proved that if is singular and -distributive, then it is . We show that if is complete then it can be represented as a direct product of -algebras which are homogeneous with respect to higher degrees of distributivity.
Anatolij Dvurečenskij (2006)
Czechoslovak Mathematical Journal
We give two variations of the Holland representation theorem for -groups and of its generalization of Glass for directed interpolation po-groups as groups of automorphisms of a linearly ordered set or of an antilattice, respectively. We show that every pseudo-effect algebra with some kind of the Riesz decomposition property as well as any pseudo -algebra can be represented as a pseudo-effect algebra or as a pseudo -algebra of automorphisms of some antilattice or of some linearly ordered set.
Ján Jakubík (1972)
Czechoslovak Mathematical Journal
W. Bloki, I. Ferreirim (1993)
Banach Center Publications
Piergiulio Corsini (1972)
Rendiconti del Seminario Matematico della Università di Padova
M. Wilhelm (1984)
Studia Mathematica
Ján Šipoš (1977)
Mathematica Slovaca
Jiří Rachůnek (1984)
Czechoslovak Mathematical Journal
Milan Jasem (1986)
Czechoslovak Mathematical Journal
Ján Jakubík, Milan Kolibiar (1983)
Czechoslovak Mathematical Journal
Perović, Ž. (1995)
Publications de l'Institut Mathématique. Nouvelle Série
Gottfried T. Rüttimann (1977)
Commentarii mathematici Helvetici
Ján Jakubík (1988)
Mathematica Slovaca
Ján Jakubík (1989)
Czechoslovak Mathematical Journal