Displaying similar documents to “Orthodox bands of modules”

Embedding sums of cancellative modes into semimodules

Anna B. Romanowska, Anna Zamojska-Dzienio (2005)

Czechoslovak Mathematical Journal

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A mode (idempotent and entropic algebra) is a Lallement sum of its cancellative submodes over a normal band if it has a congruence with a normal band quotient and cancellative congruence classes. We show that such a sum embeds as a subreduct into a semimodule over a certain ring, and discuss some consequences of this fact. The result generalizes a similar earlier result of the authors proved in the case when the normal band is a semilattice.

Radicals of Green’s relations

Stojan Bogdanović, Miroslav Ćirić (1999)

Czechoslovak Mathematical Journal

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Some structural descriptions of semigroups in which the radicals of Green’s relations are semilattice congruences will be given.

Modules for which the natural map of the maximal spectrum is surjective

H. Ansari-Toroghy, R. Ovlyaee-Sarmazdeh (2010)

Colloquium Mathematicae

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Let R be a commutative ring with identity. The purpose of this paper is to introduce two new classes of modules over R, called Ms modules and fulmaximal modules respectively. The first (resp. second) class contains the family of finitely generated and primeful (resp. finitely generated and multiplication) modules properly. Our concern is to extend some properties of primeful and multiplication modules to these new classes of modules.