T -neighborhood groups

T. M. G. Ahsanullah and Fawzi Al-Thukair

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-17

Abstract:

We generalize min-neighborhood groups to arbitrary T -neighborhood groups, where T is a continuous triangular norm. In particular, we point out that our results accommodate the previous theory on min-neighborhood groups due to T. M. G. Ahsanullah. We show that every T -neighborhood group is T -uniformizable, therefore, T -completely regular. We also present several results of T -neighborhood groups in conjunction with T I -groups due to J. N. Mordeson.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:423543

DOI: 10.1155/S0161171204307052

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