Characterizations of Artinian and Noetherian Gamma-Rings in Terms of Fuzzy Ideals

Authors: MEHMET ALİ ÖZTÜRK, MUSTAFA UÇKUN, YOUNG BAE JUN

Abstract: Using fuzzy ideals, characterizations of Noetherian \Gamma-rings are given, and a condition for a \Gamma-ring to be Artinian is also given.

Keywords: (Artinian, Noetherian) \Gamma-ring, fuzzy left (right) ideal, \Gamma-residue class ring.

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