Warianty tytułu
Konferencja
Proceedings of the AAA88 - 88th Workshop on General Algebra Editors for the Special Issue: Anna Romanowska, Jonathan D. H. Smith
Języki publikacji
Abstrakty
The paper deals with the monounary algebras for which the second centralizer equals the first centralizer. We describe Green’s relations on the semigroup C, where C is the centralizer of such algebra.
Czasopismo
Rocznik
Tom
Strony
536--545
Opis fizyczny
Bibliogr. 16 poz., rys.
Twórcy
- Institute of Mathematics, P. J. Šafárik University, Jesenná 5, 041 54 Košice, Slovakia, danica.studenovska@upjs.sk
autor
- Institute of Mathematics, P. J. Šafárik University, Jesenná 5, 041 54 Košice, Slovakia, miroslava.sulicova@student.upjs.sk
Bibliografia
- [1] J. Araújo, J. Konieczny, General theorems on automorphisms of semigroups and their applications, J. Austral. Math. Soc. 87(1) (2009), 1–17.
- [2] J. Araújo, J. Konieczny, Centralizers in the full transformation semigroup, Semigroup Forum 86 (2013), 1–31.
- [3] J. M. Howie, Fundamentals of Semigroup Theory, Oxford University Press, New York, 1995.
- [4] D. Jakubíková-Studenovská, J. Pócs, Monounary Algebras, P. J. Šafárik Univ., Košice, 2009.
- [5] D. Jakubíková-Studenovská, M. Šuličová, Centralizers of a monounary algebra, Asian-Eur. J. Math., Vol. 08, No. 01, 1550007 (2015), DOI: 10.1142/S1793557115500072.
- [6] B. Jónsson, Topics in universal algebra, Lecture Notes in Mathematics, Vol. 250, Springer-Verlag, 1972.
- [7] J. Konieczny, S. Lipscomb, Centralizers in the semigroup of partial transformations, Math. Japon. 48 (1998), 367–376.
- [8] J. Konieczny, Green’s relations and regularity in centralizers of permutations, Glasgow Math. J. 41(1) (1999), 45–57.
- [9] J. Konieczny, Second centralizers of patrial transformations, Czechoslovak Math. J. 51(126) (2001), 873–888.
- [10] J. Konieczny, Semigroups of transformations commuting with idempotents, Algebra Colloq. 9 (2002), 121–134.
- [11] J. Konieczny, Semigroups of transformations commuting with injective nilpotents, Comm. Algebra 32 (2004), 1951–1969.
- [12] J. Konieczny, Centralizers in the semigroup of injective transformations on an infinite set, Bull. Austral. Math. Soc. 82 (2010), 305–321.
- [13] J. Konieczny, Infinite injective transformations whose centralizers have simple structure, Cent. Eur. J. Math. 9(1) (2011), 23–35.
- [14] J. Kopeček, Homomorphisms of partial unary algebras, Czechoslovak Math. J. 26(101) (1976), 108–127.
- [15] M. Novotný, Über Abbildingen von Mengen, Pacific J. Math. 13 (1963), 1359–1369.
- [16] J. G. Pitkethly, B. A. Davey, Dualisability: Unary Algebras and Beyond, Springer-Verlag, 2005.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-68d13478-1106-455c-9834-439e788c5a86