Generators of existence varieties of regular rings and complemented Arguesian lattices

Christian Herrmann; Marina Semenova

Displaying similar documents to “Generators of existence varieties of regular rings and complemented Arguesian lattices”

Representation of algebraic distributive lattices with ℵ compact elements as ideal lattices of regular rings.

Friedrich Wehrung (2000)

Publicacions Matemàtiques

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We prove the following result: Theorem. Every algebraic distributive lattice D with at most ℵ₁ compact elements is isomorphic to the ideal lattice of a von Neumann regular ring R. (By earlier results of the author, the ℵ₁ bound is optimal.) Therefore, D is also isomorphic to the congruence...

Amalgamating commutative regular rings

William H. Cornish (1977)

Commentationes Mathematicae Universitatis Carolinae

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Vector lattices, Boolean rings and simple functions

Topping, D. (1964)

Portugaliae mathematica

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Non-transitive generalizations of subdirect products of linearly ordered rings

Jiří Rachůnek, Dana Šalounová (2003)

Czechoslovak Mathematical Journal

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Weakly associative lattice rings (wal-rings) are non-transitive generalizations of lattice ordered rings (l-rings). As is known, the class of l-rings which are subdirect products of linearly ordered rings (i.e. the class of f-rings) plays an important role in the theory of l-rings. In the paper, the classes of wal-rings representable as subdirect products of to-rings and ao-rings (both being non-transitive generalizations of the class of f-rings) are characterized and the class of wal-rings...

A Survey of Rings Generated by Units

Ashish K. Srivastava (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

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This article presents a brief survey of the work done on rings generated by their units.