Simplicity of Some Nonzero-Symmetric Centralizer Near-Rings

Kabza, Lucyna

doi:10.1007/978-94-011-0359-6_15

Lucyna Kabza⁷

Part of the book series: Mathematics and Its Applications ((MAIA,volume 336))

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Abstract

Let G be a group written additively with 0 and 5 a semigroup of endomorphisms of G. The set of functions

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References

G. Berman and R. J. Silverman, Simplicity of near-rings of transformations, Proc. Amer. Math. Soc. 10 (1959). 456–459.
Article MathSciNet MATH Google Scholar
A. H. Clifford and G. B. Prestson, The algebraic theory of semigroups, Math. Surveys No. 7, Amer. Math. Soc, Providence RI, Vol. I (1961), Vol. II (1967).
Google Scholar
P. Fuchs, C. J. Maxson, M. R. Pettet and K. C. Smith, Centralizer near-rings determined by fixed point free automorphism groups. Proc. Roy. Soc. Edinburgh Sect. A 107 (1987), 327–337.
Article MathSciNet MATH Google Scholar
J. M. Howie, An introduction to semigroup theory, Academic Press, London, 1976.
MATH Google Scholar
S. J. Mahmood, J. D. Meldrum and L. O’Carroll, Inverse semigroups and near-rings, J. London Math. Soc. 23 (1981), 45–60.
Article MathSciNet MATH Google Scholar
C. J. Maxson and A. Oswald, On the centralizer of a semigroup of group endomorphisms, Semigroup Forum 28 (1984), 30–45.
Article MathSciNet Google Scholar
C. J. Maxson and K. C. Smith, The centralizer of a set of group automorphisms, Comm. Algebra 8 (1980), 211–230.
Article MathSciNet MATH Google Scholar
C. J. Maxson and K. C. Smith, The centralizer of a group endomorphism, J. Algebra 57 (1979), 441–448
Article MathSciNet MATH Google Scholar
C, J. Maxson and K. C. Smith, Near-ring centralizers, Proc. 9th USL-Math. Conf., University of Southwestern Louisiana, Lafayette, 1979.
Google Scholar
C. J. Maxson and K. C. Smith, The centralizer of a group automorphism, J. Algebra 54 (1978), 27–41.
Article MathSciNet MATH Google Scholar
J. D. P. Meldrum and M. Zeller, The simplicity of near-rings of mappings, Proc. Roy. Soc. Edinburgh Sect. A 90 (1981), 185–193.
Article MathSciNet MATH Google Scholar

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Authors and Affiliations

Department of Mathematics, University of St. Thomas, 3800 Montrose Boulevard, 77006, Houston, TX, USA
Lucyna Kabza

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Lucyna Kabza
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Editors and Affiliations

Department of Mathematics, National Cheng Kung University, Tainan, Taiwan, Republic of China
Yuen Fong
Department of Mathematics, Brock University, St. Catherines, Ontario, Canada
Howard E. Bell
Department of Mathematics, National Cheng Kung University, Tainan, Taiwan, Republic of China
Wen-Fong Ke
Department of Mathematics and Statistics, University of New Brunswick, Fredericton, New Brunswick, Canada
Gordon Mason
Institute for Mathematics, Johannes Kepler Universität, Linz, Austria
Günter Pilz

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Kabza, L. (1995). Simplicity of Some Nonzero-Symmetric Centralizer Near-Rings. In: Fong, Y., Bell, H.E., Ke, WF., Mason, G., Pilz, G. (eds) Near-Rings and Near-Fields. Mathematics and Its Applications, vol 336. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0359-6_15

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DOI: https://doi.org/10.1007/978-94-011-0359-6_15
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4160-7
Online ISBN: 978-94-011-0359-6
eBook Packages: Springer Book Archive

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