On Schützenberger products of semirings

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Authors	KLÍMA Ondřej POLÁK Libor
Year of publication	2010
Type	Article in Proceedings
Conference	Developments in Language Theory
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	Polynomial operators on classes of languages; idempotent semirings; Schützenberger product
Description	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.
Related projects:	Institute for Theoretical Computer Science Mathematical structures and their physical applications Algebraic Methods in Automata and Formal Language Theory II