ความสัมพันธ์แบบกรีนของโคไฮเพอร์ซับสติวชันเชิงเส้นชนิด \tau = (n)
Main Article Content
บทคัดย่อ
Linear cohypersubstitutions of type = (n) are mappings which map the n-ary co-operation symbols to linear coterms of type
. Every linear cohypersubstitution
of type
= (n) induces a mapping
on the set of all linear coterms of type
. The set of all linear cohypersubstitutions of type
under the binary operation
which is defined by
for all
forms a monoid. In this paper, we characterize Green’s relations on
.
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บทความวิจัย
References
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algebras. Springer Science+Business Media.
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hypersubstitutions and strongly solid varieties.
Proceedings of the “59th Workshop on General
Algebra”, Conference for Young Algebraists.
Potsdam. 200;135-145.
Cohypersubstitutions of type Thai
Journal of Mathematics. 2016;14:191-201.
[2] Csa’ka’ny B. Completeness in coalgebras. Acta
Sci. Math. 1985;48:75-84.
[3] Denecke K. The partial clone of linear terms.
Siberian Mathematical Journal. 2016:57(4):589-
598
[4] Denecke K, Lau D, Poschel R, Schweigert D.
Hyperidentities, hyperequational classes and
clone congruences. Contribution to General
Algebra. 2002;7:97-118.
[5] Denecke K, Saengsura K. Cohyperidentities and
M-solid classes of coalgebras. Discrete
Mathematics. 2009;304(4):772-783.
[6] Denecke K, Saengsura K. Menger Algebras and
Clones of Cooperations. Algebra Colloquium.
2008;15(2):223-234.
[7] Denecke K, Wismath SL. Universal algebra and
applications in theoretical computer science.
Boca Raton, Chapman&Hall/CRC. 2002.
[8] Drbohlav K. On quasicovarieties. Acta Fac.
Rerum Natur. Univ. Comenian. Math.
Mimoriadne Cislo. 1971;17-20.
[9] Howie JM. Fundamentals of Semigroup Theory.
Oxford Science Publications, Clarendon Press.
Oxford. 1995.
[10] Jermjitporn S, Saengsura N. Generalized
cohypersubstitutions of type Thai
Journal of Mathematics. 2013;4:747-755.
[11] Koppitz J, Denecke K. M-solid varieties of
algebras. Springer Science+Business Media.
Inc. 2006.
[12] Leeratanavalee S, Denecke K. Generalized
hypersubstitutions and strongly solid varieties.
Proceedings of the “59th Workshop on General
Algebra”, Conference for Young Algebraists.
Potsdam. 200;135-145.