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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

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

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.