On the Centralizer of a semigroup of group endomorphisms.
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C.J. Maxson, A. Oswald (1984)
Semigroup forum
Wendt, Gerhard (2004)
Mathematica Pannonica
Dasić, Vucić (1980)
Publications de l'Institut Mathématique. Nouvelle Série
Markku Niemenmaa (1986)
Monatshefte für Mathematik
Veldsman, Stefan (1992)
Mathematica Pannonica
Dalibor Klucký, Libuše Marková (1983)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Nandakumar, P. (2009)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
Carlton J. Maxson (1970)
Compositio Mathematica
Wen-Fong Ke, Johannes H. Meyer, Günter F. Pilz, Gerhard Wendt (2024)
Czechoslovak Mathematical Journal
We investigate conditions on an infinite simple group in order to construct a zero-symmetric nearring with identity on it. Using the Higman-Neumann-Neumann extensions and Clay’s characterization, we obtain zero-symmetric nearrings with identity with the additive groups infinite simple groups. We also show that no zero-symmetric nearring with identity can have the symmetric group as its additive group.
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