Pseudo-involutions
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 8, pp. 181-187.

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In this paper, we study primitive rings with pseudo-involution and with a minimal one-sided ideal. We also consider the question of conjugation of pseudo-involutions with usual involutions in associative rings.
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S. V. Limarenko. Pseudo-involutions. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 8, pp. 181-187. http://geodesic.mathdoc.fr/item/FPM_2006_12_8_a7/

[1] Herstein I., Rings with Involution, Chicago Lectures in Math., Univ. of Chicago Press, Chicago, 1976 | MR | Zbl