ar X iv : 0 70 6 . 14 81 v 1 [ m at h . G R ] 1 1 Ju n 20 07 Weak Inverse Property Loops and Some Isotopy - Isomorphy Properties ∗ †
نویسنده
چکیده
Two distinct isotopy-isomorphy conditions, different from those of J. M. Osborn and Wilson’s condition, for a weak inverse property loop(WIPL) are shown. Only one of them characterizes isotopy-isomorphy in WIPLs while the other is just a sufficient condition for isotopy-isomorphy. Under the sufficient condition called the T condition, Artzy’s result that isotopic cross inverse property loops(CIPL) are isomorphic is proved for WIP loops.
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تاریخ انتشار 2008