Some special p-groups and nearrings with identity.

Authors

  • I. Raievska Department of Algebra and Topology, Institute of mathematics of NAS of Ukraine, Kyiv, Ukraine
  • M. Raievska Department of Algebra and Topology, Institute of mathematics of NAS of Ukraine, Kyiv, Ukraine

Keywords:

p-Group, nearring with identity

Abstract

Clearly every associative ring is a nearring and each group is the additive group of a nearring, but not necessarily of a nearring with identity. The question what group can be the additive group of a nearring with identity is far from solution.

References

M. Hall, Jr., The Theory of Groups, The Macmillan Company, New York, 1959.

J. R. Clay, Research in near-ring theory using a digital computer, BIT 10 (1970), 249–265.

R. R. Laxton, R. Lockhart, The near-rings hosted by a class of groups, Proc. Edinb. Math. Soc. (2) 23 (1980), 69–86.

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