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Continuous rings with ACC on essentials are Artinian

S. K. Jain, Sergio R. López-Permouth, S. Tariq Rizvi

Proceedings of the American Mathematical Society · 1990 · 22 citations · 3 references

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Abstract

It is proved that a left continuous ring with ascending chain condition on essential left ideals is left artinian.

References

3

On continuous rings and self injective rings

Yuzo Utumi · Transactions of the American Mathematical Society · 1965 · 167 citations · Full text

, , +7

On Continuous Rings and Self Injective Rings

Yuzo Utumi · Transactions of the American Mathematical Society · 1965 · 40 citations

, , +7

On injective and quasi-continuous modules

Bruno J. Müller, S. Tariq Rizvi · Journal of Pure and Applied Algebra · 1983 · 37 citations

, , +3