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On a generalisation of self-injective von Neumann regular rings

Author(s): George Ivanov
Journal: Proc. Amer. Math. Soc. 124 (1996), 1051-1060.
MSC (1991): Primary 16D50, 16D70; Secondary 16E60
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Abstract: Apart from von Neumann regular rings, rings with infinite identities have not been studied in any detail. We take a first step in that direction by obtaining structure theorems for a class of self-injective rings with infinite identities. These extend the main structure theorems for self-injective von Neumann regular rings.

References:

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[G]: K.R. Goodearl, Von Neumann Regular Rings, Pitman, London, 1979. MR 80e:16011
[I1]: G. Ivanov, Non-local rings whose ideals are quasi-injective, Bull. Aust. Math. Soc. 6 (1972), 45--52. MR 45:311
[I2]: G. Ivanov, Rings with quasi-injective ideals, Bull. Aust. Math. Soc. 50 (1994), 197--204. CMP 95:02
[J]: S. K. Jain, Rings whose cyclic modules have certain properties and the duals, Lecture Notes Series 25 (1976), 143--160.


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