Title of article :
THE w-FF PROPERTY IN TRIVIAL EXTENSIONS
Author/Authors :
Chang ، G.W. - Incheon National University , Kim ، H. - Hoseo University
Abstract :
Let D be an integral domain with quotient field K, E be a K-vector space, R=D∝E be the trivial extension of D by E, and w be the so-called w-operation. In this paper, we show that R is a w-FF ring if and only if D is a w-FF domain; and in this case, each w-flat w-ideal of R is w-invertible.
Keywords :
w , at module , w , FF ring , trivial extension
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
