Abstract
A uni-serial ring R is said to be nearly simple if Jac(R) is a unique nonzero two-sided ideal of R and Jac2(R) ≠ 0. Similarly to Lemma 14.11 it is possible to prove that a nearly simple uni-serial ring does not have Krull dimension and not semi-duo. A uni-serial ring R is called exceptional if R is nearly simple, prime, and contains zero divisors.
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© 2001 Springer Science+Business Media Dordrecht
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Puninski, G. (2001). Pure Projective Modules over Exceptional Uniserial Rings. In: Serial Rings. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0652-1_15
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DOI: https://doi.org/10.1007/978-94-010-0652-1_15
Publisher Name: Springer, Dordrecht
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