Geodesic
Weakly Tripotent Rings
Kragujevac Journal of Mathematics, Tome 43 (2019) no. 3, p. 465 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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We completely characterize those rings $R$, calling them { weakly tripotent}, whose elements satisfy the equations $x^3=x$ or $x^3=-x$. This enlarges a result due to Hirano-Tominaga in Bull. Austral. Math. Soc. (1988) concerning tripotent rings.
Classification : 16D60 16S34, 16U60
Keywords: Tripotent rings, weakly tripotent rings, equations 
@article{KJM_2019_43_3_a9,
     author = {Peter V. Danchev},
     title = {Weakly {Tripotent} {Rings}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {465 },
     year = {2019},
     volume = {43},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2019_43_3_a9/}
}
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Peter V. Danchev. Weakly Tripotent Rings. Kragujevac Journal of Mathematics, Tome 43 (2019) no. 3, p. 465 . http://geodesic.mathdoc.fr/item/KJM_2019_43_3_a9/