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Published in:
2010 | OriginalPaper | Chapter
On Schützenberger Products of Semirings
Authors : Ondřej Klíma, Libor Polák
Published in: Developments in Language Theory
Publisher: Springer Berlin Heidelberg
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The Schützenberger product of (ordered) monoids is an essential tool when studying the polynomial operators on Boolean and positive varieties of languages and concatenation hierarchies. Here we consider rather disjunctive varieties of languages and therefore the recognition of languages is by finite idempotent semirings. We define a product of finite idempotent semirings and we show similar results to those concerning Schützenberger products of monoids and ordered monoids.