Autor:	Chajda, Ivan, 1946-
Další autoři:	Länger, Alicia Švrček, Filip, 1979-
Jazyk:	angličtina
Předmět:	matematika články journal articles semiring commutative semiring multiplicatively idempotent semiring semiring of characteristic 2 simple semiring unitary Boolean ring bounded distributive lattice
Druh dokumentu:	Non-fiction
ISSN:	0862-7959
Abstrakt:	Abstract: Semirings are modifications of unitary rings where the additive reduct does not form a group in general, but only a monoid. We characterize multiplicatively idempotent semirings and Boolean rings as semirings satisfying particular identities. Further, we work with varieties of enriched semirings. We show that the variety of enriched multiplicatively idempotent semirings differs from the join of the variety of enriched unitary Boolean rings and the variety of enriched bounded distributive lattices. We get a characterization of this join.
Databáze:	Katalog Knihovny AV ČR
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