期刊名称:International Journal of Mathematics and Mathematical Sciences
印刷版ISSN:0161-1712
电子版ISSN:1687-0425
出版年度:2004
卷号:2004
DOI:10.1155/S0161171204307052
出版社:Hindawi Publishing Corporation
摘要: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.