Multiplicative semiderivations on ideals in semiprime rings

2017/11/28 by Golbasi, Oznur, Agirtici, Onur
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1711.10479

Abstract

In this paper, we introduce multiplicative semiderivation and we investigate the commutativity of semiprime rings satisfying certain conditions and identities involving multiplicative semiderivations on a nonzero ideal I of a ring R.

Related

• Semi r-ideals of commutative rings
• The X-semiprimeness of Rings
• Prime and semiprime submodules of Rⁿ and a related Nullstellensatz\n for M_n(R)
• A new notion of semiprime submodules
• Multiplication Semimodules