Displaying similar documents to “A quick and simple proof of Sherman's theorem on order in C * -algebras.”

Normalization of basic algebras

Miroslav Kolařík (2008)

Discussiones Mathematicae - General Algebra and Applications

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We consider algebras determined by all normal identities of basic algebras. For such algebras, we present a representation based on a q-lattice, i.e., the normalization of a lattice.

Roughness of Filters in Lattice Implication Algebras

Y. B. Jun, Yang Xu (2004)

Bulletin of the Polish Academy of Sciences. Mathematics

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As a generalization of filters in lattice implication algebras, the notion of rough filters in lattice implication algebras is introduced, and some of their properties are considered.

Irredundant Decomposition of Algebras into One-Dimensional Factors

Bogdan Staruch (2016)

Bulletin of the Section of Logic

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We introduce a notion of dimension of an algebraic lattice and, treating such a lattice as the congruence lattice of an algebra, we introduce the dimension of an algebra, too. We define a star-product as a special kind of subdirect product. We obtain the star-decomposition of algebras into one-dimensional factors, which generalizes the known decomposition theorems e.g. for Abelian groups, linear spaces, Boolean algebras.