Transparent Ore Extensions over Sigma-(∗)-rings

Authors

  • Vijay Kumar Bhat Istanbul University

Abstract

In this paper we introduce a stronger type of primary decomposition of a Noetherian ring. We call such a ring a

 

Transparent ring and show that if R is a commutative Noetherian ring, which is also an algebra over Q (the field of rational numbers); an automorphism of R and a -derivation of R such that ((a)) = ((a)), for all a ∈ R. Further more if a(a) ∈ P(R) implies that a ∈ P(R), (P(R) the prime radical of R), then R[x;,] is a Transparent ring.

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How to Cite

Bhat, V. K. (2011). Transparent Ore Extensions over Sigma-(∗)-rings. European Journal of Pure and Applied Mathematics, 4(3), 221–229. Retrieved from https://ejpam.com/index.php/ejpam/article/view/1241