Inversion in a class of lattice-ordered algebras
Anthony W. Hager, Philip Nanzetta, Donald Plank (1972)
Colloquium Mathematicae
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Displaying similar documents to “Lattice ordered algebras generated by a system of ideals”
Inversion in a class of lattice-ordered algebras
The Lattice of all Systems of -Ideals in a Set
Judita Lihová (1972)
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The classes of partially ordered groups
F. Loonstra (1951)
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Normal autometrized lattice ordered algebras
Tomáš Kovář (2000)
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Inner ideals in C*-algebras.
C.M. Edwards, G.T. Rüttimann (1991)
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Nonstandard implication algebras
R. A. Herrmann (1978)
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On ideals of a skew lattice
João Pita Costa (2012)
Discussiones Mathematicae - General Algebra and Applications
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Ideals are one of the main topics of interest when it comes to the study of the order structure of an algebra. Due to their nice properties, ideals have an important role both in lattice theory and semigroup theory. Two natural concepts of ideal can be derived, respectively, from the two concepts of order that arise in the context of skew lattices. The correspondence between the ideals of a skew lattice, derived from the preorder, and the ideals of its respective lattice image is clear....
Congruences and ideals in lattice effect algebras as basic algebras
Sylvia Pulmannová, Elena Vinceková (2009)
Kybernetika
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Effect basic algebras (which correspond to lattice ordered effect algebras) are studied. Their ideals are characterized (in the language of basic algebras) and one-to-one correspondence between ideals and congruences is shown. Conditions under which the quotients are OMLs or MV-algebras are found.
Approximately finite-dimensional C*-algebras
Karl Heinrich Hofmann, Francisco Javier Thayer
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CONTENTSIntroduction........................................................................................................................... 51. Finite-dimensional C*-algebras.................................................................................. 8 The objects...................................................................................................................... 8 The morphisms.................................................................................................................