逢甲學報, Band 18逢甲大學, 1985 |
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Ergebnisse 1-3 von 18
Seite 454
... regular by Kaplansky in [ 1 ] . V.S. Ramamurthi [ 6 ] , F. Szasz [ 7 ] defined weakly regular in a different ways . The different definitions of with respect ring rise the different properties of ring * . We show in §1 that , if R is ...
... regular by Kaplansky in [ 1 ] . V.S. Ramamurthi [ 6 ] , F. Szasz [ 7 ] defined weakly regular in a different ways . The different definitions of with respect ring rise the different properties of ring * . We show in §1 that , if R is ...
Seite 455
... regular if xax = x for some nonzero element x in R. A ring R is ( Kaplansky ) weakly regular if all nonzero elements of R are ( Kaplansky ) weakly regular . ( Kaplansky ) weakly regular right ideals- ( left ideals , ideals ) are defined ...
... regular if xax = x for some nonzero element x in R. A ring R is ( Kaplansky ) weakly regular if all nonzero elements of R are ( Kaplansky ) weakly regular . ( Kaplansky ) weakly regular right ideals- ( left ideals , ideals ) are defined ...
Seite 460
... regular , x being nonzero element in R , such that xax = x . xax + xc - xaxc = x.0 , it will force x = 0 , which ... regular ring if and only if every nonzero right ( left ) ideal of R contains a nonzero idempotent . Proposition 2.2 . If ...
... regular , x being nonzero element in R , such that xax = x . xax + xc - xaxc = x.0 , it will force x = 0 , which ... regular ring if and only if every nonzero right ( left ) ideal of R contains a nonzero idempotent . Proposition 2.2 . If ...