Nearly-idempotent plain algebras are indeed nearly idempotent plain algebras
Ágnes Szendrei (1996)
Mathematica Slovaca
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Displaying similar documents to “Idempotent Subreducts of Semimodules over Commutative Semirings”
Nearly-idempotent plain algebras are indeed nearly idempotent plain algebras
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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.