Some results on primeness in the near-ring of Lipschitz functions on a normed vector space

Mark Farag

Research Article

Some results on primeness in the near-ring of Lipschitz functions on a normed vector space

Year 2014, Volume: 43 Issue: 5, 747 - 753, 01.10.2014

Abstract

In this note, we consider the equiprime and strongly prime radicals in
the near-ring LX of Lipschitz functions over a normed vector space X.
We prove that the equiprime radical of LX is trivial, and we also obtain
upper and lower bounds on its strongly prime radical in terms of the
ideal of bounded Lipschitz functions on X

Keywords

near-ring, Lipschitz, equiprime, strongly prime

References

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Year 2014, Volume: 43 Issue: 5, 747 - 753, 01.10.2014

Mark Farag

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Journal Section	Mathematics
Authors	Mark Farag This is me
Publication Date	October 1, 2014
Published in Issue	Year 2014 Volume: 43 Issue: 5

Cite

APA	Farag, M. (2014). Some results on primeness in the near-ring of Lipschitz functions on a normed vector space. Hacettepe Journal of Mathematics and Statistics, 43(5), 747-753.
AMA	Farag M. Some results on primeness in the near-ring of Lipschitz functions on a normed vector space. Hacettepe Journal of Mathematics and Statistics. October 2014;43(5):747-753.
Chicago	Farag, Mark. “Some Results on Primeness in the Near-Ring of Lipschitz Functions on a Normed Vector Space”. Hacettepe Journal of Mathematics and Statistics 43, no. 5 (October 2014): 747-53.
EndNote	Farag M (October 1, 2014) Some results on primeness in the near-ring of Lipschitz functions on a normed vector space. Hacettepe Journal of Mathematics and Statistics 43 5 747–753.
IEEE	M. Farag, “Some results on primeness in the near-ring of Lipschitz functions on a normed vector space”, Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 5, pp. 747–753, 2014.
ISNAD	Farag, Mark. “Some Results on Primeness in the Near-Ring of Lipschitz Functions on a Normed Vector Space”. Hacettepe Journal of Mathematics and Statistics 43/5 (October 2014), 747-753.
JAMA	Farag M. Some results on primeness in the near-ring of Lipschitz functions on a normed vector space. Hacettepe Journal of Mathematics and Statistics. 2014;43:747–753.
MLA	Farag, Mark. “Some Results on Primeness in the Near-Ring of Lipschitz Functions on a Normed Vector Space”. Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 5, 2014, pp. 747-53.
Vancouver	Farag M. Some results on primeness in the near-ring of Lipschitz functions on a normed vector space. Hacettepe Journal of Mathematics and Statistics. 2014;43(5):747-53.