Primes, coprimes and multiplicative elements

Melvin F. Janowitz; Robert C. Powers; Thomas Riedel

Displaying similar documents to “Primes, coprimes and multiplicative elements”

On Raney's theorems for completely distributive complete lattices

Gabriele H. Greco (1988)

Colloquium Mathematicae

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Varieties of Distributive Rotational Lattices

Gábor Czédli, Ildikó V. Nagy (2013)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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A rotational lattice is a structure $〈 L; \lor, \land, g 〉$ where $L = 〈 L; \lor, \land 〉$ is a lattice and $g$ is a lattice automorphism of finite order. We describe the subdirectly irreducible distributive rotational lattices. Using Jónsson’s lemma, this leads to a description of all varieties of distributive rotational lattices.

Finite-distributive atomistic lattices

Janowitz, M.F., Coté, N.H. (1976)

Portugaliae mathematica

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Metrizable completely distributive lattices

Zhang De-Xue (1997)

Commentationes Mathematicae Universitatis Carolinae

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The purpose of this paper is to study the topological properties of the interval topology on a completely distributive lattice. The main result is that a metrizable completely distributive lattice is an ANR if and only if it contains at most finite completely compact elements.

Meet-distributive lattices have the intersection property

Henri Mühle (2023)

Mathematica Bohemica

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This paper is an erratum of H. Mühle: Distributive lattices have the intersection property, Math. Bohem. (2021). Meet-distributive lattices form an intriguing class of lattices, because they are precisely the lattices obtainable from a closure operator with the so-called anti-exchange property. Moreover, meet-distributive lattices are join semidistributive. Therefore, they admit two natural secondary structures: the core label order is an alternative order on the lattice elements and...