Перегляд за автором "Bhat, V.K."

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  • Associated prime ideals of weak σ-rigid rings and their extensions 
    Bhat, V.K. (Algebra and Discrete Mathematics, 2010)
    Let R be a right Noetherian ring which is also an algebra over Q (Q the field of rational numbers). Let σ be an automorphism of R and δ a σ-derivation of R. Let further σ be such that aσ(a)∈N(R) implies that ...
  • Differential operator rings over 2-primal rings 
    Bhat, V.K. (Український математичний вісник, 2008)
    Let R be a ring, and δ be a derivation of R. It is proved that R is a 2-primal Noetherian Q-algebra implies that the differential operator ring R[x, δ] is a 2-primal Noetherian.
  • On 2-primal Ore extensions 
    Bhat, V.K. (Український математичний вісник, 2007)
    Let R be a ring, be an automorphism of R and δ be a σ-derivation of R. We define a δ property on R. We say that R is a δ-ring if aδ(a) ∊ P(R) implies a ∊ P(R), where P(R) denotes the prime radical of R. We ultimately ...
  • On Pseudo-valuation rings and their extensions 
    Bhat, V.K. (Algebra and Discrete Mathematics, 2011)
    Let R be a commutative Noetherian Q-algebra (Q is the field of rational numbers). Let σ be an automorphism of R and δ a σ-derivation of R. We define a δ-divided ring and prove the following: (1)If R is a pseudo-valuation ...
  • Prime radical of Ore extensions over δ -rigid rings 
    Bhat, V.K. (Algebra and Discrete Mathematics, 2009)
    Let R be a ring. Let σ be an automorphism of R and δ be a σ-derivation of R. We say that R is a δ-rigid ring if aδ(a)∈P(R) implies a∈P(R), a∈R; where P(R) is the prime radical of R. In this article, we find a relation ...