T-neighborhood groups

نویسندگان

  • T. M. G. Ahsanullah
  • Fawzi A. Al-Thukair
چکیده

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 TI-groups due to J. N. Mordeson.

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عنوان ژورنال:
  • Int. J. Math. Mathematical Sciences

دوره 2004  شماره 

صفحات  -

تاریخ انتشار 2004