KLÍMA, Ondřej and Libor POLÁK. On Schützenberger products of semirings. In Gao, Y; Lu, H; Seki, S; Yu, S. Developments in Language Theory. Berlin Heidelberg (Germany): Springer-Verlag, 2010, p. 279-290. ISBN 978-3-642-14454-7.
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Basic information
Original name On Schützenberger products of semirings
Authors KLÍMA, Ondřej (203 Czech Republic, guarantor, belonging to the institution) and Libor POLÁK (203 Czech Republic, belonging to the institution).
Edition Berlin Heidelberg (Germany), Developments in Language Theory, p. 279-290, 12 pp. 2010.
Publisher Springer-Verlag
Other information
Original language English
Type of outcome Proceedings paper
Field of Study 10101 Pure mathematics
Country of publisher Germany
Confidentiality degree is not subject to a state or trade secret
Impact factor Impact factor: 0.402 in 2005
RIV identification code RIV/00216224:14310/10:00047230
Organization unit Faculty of Science
ISBN 978-3-642-14454-7
ISSN 0302-9743
UT WoS 000286402700026
Keywords in English Polynomial operators on classes of languages; idempotent semirings; Schützenberger product
Tags International impact, Reviewed
Changed by Changed by: doc. Mgr. Ondřej Klíma, Ph.D., učo 3868. Changed: 18/4/2011 13:50.
Abstract
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.
Links
GA201/09/1313, research and development projectName: Algebraické metody v teorii automatů a formálních jazyků II
Investor: Czech Science Foundation, Algebraic Methods in Automata and Formal Language Theory II
MSM0021622409, plan (intention)Name: Matematické struktury a jejich fyzikální aplikace
Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures and their physical applications
1M0545, research and development projectName: Institut Teoretické Informatiky
Investor: Ministry of Education, Youth and Sports of the CR, Institute for Theoretical Computer Science
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