The aim of this paper is to introduce and study graded and filtered gamma rings and gamma modules. We prove that the filtered Gamma-ring (module) is a generalization of the notion of graded ring (module). Also, we construct a graded Gamma-ring from a filtered Gamma-ring. We investigate some properties of graded and filtered Gamma rings and Gamma modules. Finally we define and study the strongly graded gamma rings.
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Al Imam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math, POB 90950, Riyadh, Saudi ArabiaAl Imam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math, POB 90950, Riyadh, Saudi Arabia
Al Khalaf, Ahmad
Taha, Iman
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Elect Univ, Riyadh, Saudi ArabiaAl Imam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math, POB 90950, Riyadh, Saudi Arabia
Taha, Iman
Artemovych, Orest D.
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Cracow Univ Technol, Inst Math, Ul Warszawska 24, PL-31155 Krakow, PolandAl Imam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math, POB 90950, Riyadh, Saudi Arabia