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Universal Journal of Computational Mathematics(CEASE PUBLICATION) Vol. 2(4), pp. 63 - 68
DOI: 10.13189/ujcmj.2014.020401
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Stone Duality on P-Rings

V. Amarendra Babu ^1,*, P.Koteswara Rao ^2
1 Department of Mathematics, Acharya Nagarjuna University Nagarjuna Nagar – 522 510
² Department of Commerce & Business Admn, Acharya Nagarjuna University, Nagarjuna Nagar, 522510, A.P, India

ABSTRACT

For given p (= prime), a p-ring as first introduced by Mc Coy and Montgomery [2]. The concept of p-ring is an evident generalization of that of Boolean ring (p = 2). The well known result of Stone [7], each Boolean ring is isomorphically representable as a ring of classes or what is equivalent, is isomorphic with a sub ring of some direct power of Z₂ ( 2-element Boolean ring = field of residues mod 2) was generalized by Mc Coy and Montgomery [2] to: each p-ring is a isomorphic with a sub ring of some direct power of Z_P (field of residues mod p) and they showed that each finite p-ring is isomorphic with a sub ring of some direct power of Z_P. The present communication concerned with a further study of p-rings. In particular we study the topological properties of p-rings and proved a Stone duality theorem.

KEYWORDS
P-Ring, Boolean Ring, Prime Ideals

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] V. Amarendra Babu , P.Koteswara Rao , "Stone Duality on P-Rings," Universal Journal of Computational Mathematics(CEASE PUBLICATION), Vol. 2, No. 4, pp. 63 - 68, 2014. DOI: 10.13189/ujcmj.2014.020401.

(b). APA Format:
V. Amarendra Babu , P.Koteswara Rao (2014). Stone Duality on P-Rings. Universal Journal of Computational Mathematics(CEASE PUBLICATION), 2(4), 63 - 68. DOI: 10.13189/ujcmj.2014.020401.