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On the structure of tame near-rings

Published online by Cambridge University Press:  09 April 2009

H. Heatherly  and
G. Pilz
H. Heatherly
Affiliation:
University of Southwest LouisianaLafayette, Louisiana 70504, U.S.A.
G. Pilz
Affiliation:
Institut für Mathematik Universität LinzA-4040 Linz, Austria
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Abstract

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Tame near-rings form an important class of near-rings. They have the common feature that all N-subgroups in a faithful N-group are ideals. Tame near-rings can be very close to and very far from rings. Most of the important classes of distributively generated near-rings and all 2-semisimple near-rings are examples of tame near-rings.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 50 , Issue 2 , April 1991 , pp. 316 - 319
Copyright
Copyright © Australian Mathematical Society 1991

References

[1]Pilz, Günter, Near-rings, (North-Holland, Amsterdam, 1983, 2nd ed.).Google Scholar
[2]Scott, Stuart D., Tame theory, (Amo Publ. Co., Univ. Auckland, New Zealand).Google Scholar