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Maximal right ideals of transformation near-rings

Published online by Cambridge University Press:  09 April 2009

Marjory J. Johnson
Marjory J. Johnson
Affiliation:
University of South CarolinaColumbia, South Carolina 29208, U.S.A.
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The purpose of this note is to characterize maximal right ideals of T0(G), the (left) mear-ring of transformations from a group (G, +) into itself which leave zero fixed. Using this characterization, we answer some questions raised by Heatherly (1972).

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 19 , Issue 4 , June 1975 , pp. 410 - 412
Copyright
Copyright © Australian Mathematical Society 1975

References

Heatherly, H. E. (1972), ‘One-sided ideals in near-rings of transformations’, J. Austral. Math. Soc. 13, 171–179.CrossRefGoogle Scholar
Johnson, M. J. (1973), ‘Right ideals and right submodules of transformation near-rings’, J. Algebra 24, 386–391.CrossRefGoogle Scholar