Geodesic
On decidability of the~equational theories of ring varieties of finite characteristic
Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 4, pp. 1193-1203

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It is proved that for every natural number $n>1$ there exists a finitely based variety $\mathfrak X_n$ of (not necessarily associative) rings such that $\mathfrak X_n\models nx=0$, $\mathfrak X_n\not\models mx=0$ for every natural number $m$, and the equational theory $\mathfrak X_n$ is undecidable. 
@article{FPM_2000_6_4_a14,
     author = {V. Yu. Popov},
     title = {On decidability of the~equational theories of ring varieties of finite characteristic},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {1193--1203},
     publisher = {mathdoc},
     volume = {6},
     number = {4},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_4_a14/}
}
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V. Yu. Popov. On decidability of the~equational theories of ring varieties of finite characteristic. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 4, pp. 1193-1203. http://geodesic.mathdoc.fr/item/FPM_2000_6_4_a14/