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math.GR2023
A characterization of -generalized skew derivations on lie ideal of a prime ring
Ashutosh Pandey, Mani Shankar Pandey
Let be a prime ring of characteristic different from , be its Utumi quotient ring, be its extended centroid and be a non-central Lie ideal of . Suppose an…
math.GR2023
Nilpotency and Capability in multiplicative Lie algebras
Amit Kumar, Mani Shankar Pandey, Sumit Kumar Upadhyay
This paper aims to introduce the concept of nilpotency and capability in multiplicative Lie algebras. Also, we see the existence of covers of a multiplicative Lie algebra and thoro…
math.GR2023
b-generalized skew derivations acting as 2-Jordan multiplier on multilinear polynomials in prime rings
Mani Shankar Pandey, Ashutosh Pandey
Let R be a prime ring of characteristic not equal to 2, U be its Utumi quotient ring and C be the extended centroid of R. Let ϕbe a multilinear polynomial over C, which is not cent…