Abstract
Let R be an associative s-unital ring with the polynomial identity \( y^{s}[x^{n},y]=\pm [x,y^{m}]x^t\) or \( y^{s}[x^{n},y]=\pm x^{t}[x,y^{m}]\), where m, n, s and t are given non-negative integers such that m > 0 or n > 0 and m ≠ n if s = m − 1 and t = n − 1. Using similar methods as in our recent papers [1] and [2], we prove here the commutativity of R for various values of m, n, s and t, under appropriate constraints on torsion of commutators.
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Abujabal, H.A.S., Peric, V. Commutativity theorems for s-unital rings with constraints on commutators. Results. Math. 21, 256–263 (1992). https://doi.org/10.1007/BF03323083
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DOI: https://doi.org/10.1007/BF03323083