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Some Results on $n$-Stable Rings
2003
Missouri Journal of Mathematical Sciences
All rings are commutative rings with identity, and J(R) denotes the Jacobson radical of the ring R. For any fixed integer n ≥ 1, it is shown that the class of all n-stable rings is properly contained in the class of all n + 1-stable rings. Results are given showing the connection between several types of rings whose finite sequences satisfy different stability conditions, some involving J(R). It is shown that in the strongly n-stable case, it suffices to check whether the n + 1tuples satisfy
doi:10.35834/2003/1502129
fatcat:c36vfe2s5zfpbmzrfwpuu7grxy