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Transparent Ore Extensions over Sigma-(∗)-rings

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2011

Key Words:

Author Name

AMS Codes:

Abstract (2. Language): 
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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  • 3
221-229
  • English

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