Pure Projective Modules over Exceptional Uniserial Rings

Gennadi Puninski
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Gennadi Puninski: Moscow State Social University, Department of Mathematics

Chapter Chapter 15 in Serial Rings, 2001, pp 187-197 from Springer

Abstract: 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.

Date: 2001
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DOI: 10.1007/978-94-010-0652-1_15

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