Some Equations in Rings Involving Semiprime Ideals and Multiplicative Generalized Semiderivations

Ali Yahya Hummdi, Öznur Gölbaşı, Emine Koç Sögütcü and Nadeem ur Rehman ()
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Ali Yahya Hummdi: Department of Mathematics, King Khalid University, Abha 61471, Saudi Arabia
Öznur Gölbaşı: Faculty of Science, Department of Mathematics, Sivas Cumhuriyet University, Sivas 58070, Turkey
Emine Koç Sögütcü: Faculty of Science, Department of Mathematics, Sivas Cumhuriyet University, Sivas 58070, Turkey
Nadeem ur Rehman: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

Mathematics, 2024, vol. 12, issue 18, 1-13

Abstract: This paper examines the commutativity of the quotient ring F / Y by utilizing specific differential identities in a general ring F that contains a semiprime ideal Y . This study particularly focuses on the role of a multiplicative generalized semiderivation ψ , which is associated with a map θ , in determining the commutative nature of the quotient ring.

Keywords: semiprime ideal; semiderivation; generalized semiderivation; multiplicative derivation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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