associative rings; associative algebras; modules; primitive rings; prime rings; graded rings; super algebras.
Subject:
Extended density theorem for graded (super, as well) rings and modules was formulated and proved.
Biography
Student of the 5–th year of Moscow State University, Faculty of Mechanics and Mathematics, Departement of Higher Algebra.
In 1998 I was awarded the title of Soros student.
Main publications:
Balaba I. N., Limarenko S. V., Mikhalev A. V., Zelenov S. V. Density theorems for graded rings. "Proceedings of International Algebraic Conference, Moscow, 2000", J. Math. Sci., 2002, 21 p.
I. N. Balaba, S. V. Zelenov, S. V. Limarenko, A. V. Mikhalev, “Density theorems for graded rings”, Fundam. Prikl. Mat., 9:1 (2003), 27–49; J. Math. Sci., 128:6 (2005), 3350–3364
S. V. Limarenko, “Extended density theorem for rings and modules graded by a group”, Uspekhi Mat. Nauk, 57:4(346) (2002), 181–182; Russian Math. Surveys, 57:4 (2002), 811–812