Subhierarchies of the Second Level in the Straubing-Thrien Hierarchy
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F11%3A00050211" target="_blank" >RIV/00216224:14310/11:00050211 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1142/S021819671100690X" target="_blank" >http://dx.doi.org/10.1142/S021819671100690X</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S021819671100690X" target="_blank" >10.1142/S021819671100690X</a>
Alternative languages
Result language
angličtina
Original language name
Subhierarchies of the Second Level in the Straubing-Thrien Hierarchy
Original language description
In a recent paper we assigned to each positive variety V and each nonnegative integer k the class of all finite unions of finite intersections or Boolean combinations of the languages of the form L0*(a1)L1*(a2)L2*...(am)Lm*, where a1,...,am are letters,L0, ...,Lm are in the variety V and k > m. For these polynomial operators on a wide class of varieties we gave a certain algebraic counterpart in terms of identities satisfied by syntactic (ordered) monoids of languages considered. Here we apply our constructions to particular examples of varieties of languages obtaining four hierarchies of (positive) varieties. Two of them have the 3/2 level of the Straubing?Thérien hierarchy as their limits, and two others tend to the level two of this hierarchy. We concentrate here on the existence of finite bases of identities for corresponding pseudovarieties of (ordered) monoids and we are looking for inclusions among those varieties.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Algebra and Computation
ISSN
0218-1967
e-ISSN
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Volume of the periodical
21
Issue of the periodical within the volume
7
Country of publishing house
SG - SINGAPORE
Number of pages
21
Pages from-to
1195-1215
UT code for WoS article
000297788300009
EID of the result in the Scopus database
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