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Displaying similar documents to “Divisor class groups of ordered subgroups”

Construction of p o -groups with quasi-divisors theory

Jiří Močkoř (2000)

Czechoslovak Mathematical Journal

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A method is presented making it possible to construct p o -groups with a strong theory of quasi-divisors of finite character and with some prescribed properties as subgroups of restricted Hahn groups H ( Δ , ℤ ) , where Δ are finitely atomic root systems. Some examples of these constructions are presented.

Strong quasi k-ideals and the lattice decompositions of semirings with semilattice additive reduct

Anjan Kumar Bhuniya, Kanchan Jana (2014)

Discussiones Mathematicae - General Algebra and Applications

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Here we introduce the notion of strong quasi k-ideals of a semiring in SL⁺ and characterize the semirings that are distributive lattices of t-k-simple(t-k-Archimedean) subsemirings by their strong quasi k-ideals. A quasi k-ideal Q is strong if it is an intersection of a left k-ideal and a right k-ideal. A semiring S in SL⁺ is a distributive lattice of t-k-simple semirings if and only if every strong quasi k-ideal is a completely semiprime k-ideal of S. Again S is a distributive lattice...