Journal of the Ramanujan Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

When is (K, K[y1,....,yt) an N-ring Pair?


Affiliations
1 Department of Mathematics, Saurashtra University, Rajkot 360005, India
     

   Subscribe/Renew Journal


For a commutative ring T with identity and a subring RofT containing the identity element of T, (R, T) is called an N-ring pair if each subring A of T such that R ⊆ A is an N-ring. In Section 2 we characterize when (K, T) is an AT-ring pair where T = K[Y1,..., Yt] is an affine ring over a field K. In Section 3 we determine when (R, T) is an iV-ring pair where T = R[x%,..., xn] is the polynomial ring in n variables x1,... ,xn over a ring R.
User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 172

PDF Views: 0




  • When is (K, K[y1,....,yt) an N-ring Pair?

Abstract Views: 172  |  PDF Views: 0

Authors

S. Visweswaran
Department of Mathematics, Saurashtra University, Rajkot 360005, India

Abstract


For a commutative ring T with identity and a subring RofT containing the identity element of T, (R, T) is called an N-ring pair if each subring A of T such that R ⊆ A is an N-ring. In Section 2 we characterize when (K, T) is an AT-ring pair where T = K[Y1,..., Yt] is an affine ring over a field K. In Section 3 we determine when (R, T) is an iV-ring pair where T = R[x%,..., xn] is the polynomial ring in n variables x1,... ,xn over a ring R.