Idempotent Subreducts of Semimodules over Commutative Semirings

David Stanovsky

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Nearly-idempotent plain algebras are indeed nearly idempotent plain algebras

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On idempotent elements in certain associative algebras

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Associative and idempotent algebras are at most ternary

J. Płonka (1976)

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Commuting idempotents of an $H^{*}$ -algebra.

Saworotnow, P.P. (2003)

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Finitely generated commutative division semirings

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Embedding sums of cancellative modes into semimodules

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

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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.

Displaying similar documents to “Idempotent Subreducts of Semimodules over Commutative Semirings”

Nearly-idempotent plain algebras are indeed nearly idempotent plain algebras

On idempotent elements in certain associative algebras

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Commuting idempotents of an H * -algebra.

Finitely generated commutative division semirings

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Commuting idempotents of an $H^{*}$ -algebra.