A Characterization of Weakly J(n)-Rings
Journal Title: Journal of Mathematics and Applications - Year 2018, Vol 41, Issue
Abstract
A ring R is called a J(n)-ring if there exists a natural number n ≥ 1 such that for each element r ∈ R the equality r^{n+1} = r holds and a weakly J(n)-ring if there exists a natural number n ≥ 1 such that for each element r ∈ R the equalities r^{n+1} = r or r^{n+1} = – r hold. We completely describe both classes of these rings R for any n, thus considerably extending some well-known results in the subject, especially that of V. Perić in Publ. Inst. Math. Beograd (1983) as well as, in particular, the classical description of Boolean rings when n = 1.
Authors and Affiliations
Peter V. Danchev
Keywords
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- DOI 10.7862/rf.2018.5
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