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Algebra i logika, 2007, Volume 46, Number 2, Pages 217–243 (Mi al3)  

This article is cited in 14 scientific papers (total in 14 papers)

The quotient algebra of labeled forests modulo $h$-equivalence

V. L. Selivanov

Novosibirsk State Pedagogical University
References:
Abstract: We introduce and study some natural operations on a structure of finite labeled forests, which is crucial in extending the difference hierarchy to the case of partitions. It is shown that the corresponding quotient algebra modulo the so-called $h$-equivalence is the simplest non-trivial semilattice with discrete closures. The algebra is also characterized as a free algebra in some quasivariety. Part of the results is generalized to countable labeled forests with finite chains.
Keywords: labeled forest, partition, difference hierarchy.
Received: 01.03.2006
Revised: 24.01.2007
English version:
Algebra and Logic, 2007, Volume 46, Issue 2, Pages 120–133
DOI: https://doi.org/10.1007/s10469-007-0011-5
Bibliographic databases:
UDC: 510.532
Language: Russian
Citation: V. L. Selivanov, “The quotient algebra of labeled forests modulo $h$-equivalence”, Algebra Logika, 46:2 (2007), 217–243; Algebra and Logic, 46:2 (2007), 120–133
Citation in format AMSBIB
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  • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и логика Algebra and Logic
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    Abstract page:1527
    Full-text PDF :187
    References:78
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