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

Yıl 2014, Cilt: 43 Sayı: 5, 747 - 753, 01.10.2014

Mark Farag

Öz

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

Anahtar Kelimeler

near-ring, Lipschitz, equiprime, strongly prime

Kaynakça

• . . ..