Associative rings; Ore extensions; rings with finiteness conditions; prime radical; extended centroid.
Subject:
invariance of radicals of rings with respect to endomorphisms;
skew polynomial ring;
Cohn-Jordan extensions;
relative nilpotency of left ideals.
Main publications:
Mushrub V.A., “On the uniform dimension of Ore extensions in many variables”, (On the uniform dimension of skew polynomial rings in many variables), Fundamentalnaya i Prikladnaya Matematika, 7:4 (2001), 1107–1121
V. A. Mushrub, “Extended centroid of a ring of skew polynomials”, Uspekhi Mat. Nauk, 52:2(314) (1997), 147–148; Russian Math. Surveys, 52:2 (1997), 414–415
V. A. Mushrub, “On the nilpotency of subrings of skew group rings”, Fundam. Prikl. Mat., 2:4 (1996), 1227–1233
1995
4.
V. A. Mushrub, “Criteria of semisimplicity of skew polynomial ring”, Fundam. Prikl. Mat., 1:3 (1995), 701–709
1992
5.
V. A. Mushrub, “On the classical ring of quotients of Cohn–Jordan extensions”, Uspekhi Mat. Nauk, 47:6(288) (1992), 201–202; Russian Math. Surveys, 47:6 (1992), 228
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