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1. Orthogonal Symmetric Higher bi-Derivations on Semiprime Г-Rings

Author

Salih

Subjects
Pure mathematics, General Computer Science, Mathematics::Commutative Algebra, General Mathematics, Semiprime, General Physics and Astronomy, Higher bi-derivations on a Г-ring, Orthogonal symmetric higher bi-derivations on a Г-ring, Symmetric bi-derivations on a Г-ring, lcsh:Q, General Chemistry, lcsh:Science, Agricultural and Biological Sciences (miscellaneous), General Biochemistry, Genetics and Molecular Biology, Mathematics
Abstract

Let M is a Г-ring. In this paper the concept of orthogonal symmetric higher bi-derivations on semiprime Г-ring is presented and studied and the relations of two symmetric higher bi-derivations on Г-ring are introduced.

Published
2019

2. On Skew Left n-Derivations with Lie Ideal Structure

Author

Faraj

Subjects
Pure mathematics, General Computer Science, Mathematics::Commutative Algebra, General Mathematics, Skew, Semiprime ring, Structure (category theory), General Physics and Astronomy, General Chemistry, Agricultural and Biological Sciences (miscellaneous), Prime (order theory), General Biochemistry, Genetics and Molecular Biology, Prime ring, Ideal (order theory), lcsh:Q, Centralizing mapping, Commuting mapping, Prime ring, Skew left n-derivation, lcsh:Science, Commutative property, Mathematics
Abstract

In this paper the centralizing and commuting concerning skew left -derivations and skew left -derivations associated with antiautomorphism on prime and semiprime rings were studied and the commutativity of Lie ideal under certain conditions were proved.

Published
2019