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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive
Izv. Saratov Univ. Math. Mech. Inform., 2013 Volume 13, Issue 4(2), Pages 23–28 (Mi isu454)
Mathematics

Semisimple graded rings

I. N. Balaba, E. N. Krasnova

Leo Tolstoy Tula State Pedagogical University, Russia, 300026, Tula, Lenina pr., 125

Abstract: The graded version of Wedderburn–Artin theorem is obtained. It gives description of semisimple $G$-graded ring for arbitrary group $G$. Homological classification of graded semisimple rings is given.

Key words: graded rings, graded modules, semisimple rings.

UDC: 512.522

DOI: 10.18500/1816-9791-2013-13-4-23-28



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© Steklov Math. Inst. of RAS, 2024