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Structure of PSI-rings
Author(s): 
Pages: 477-482
Year: Issue:  4
Journal: Journal of Suzhou University Natural Science

Keyword:  P S I—ringproper subringan extension field of degree q over Zpa zero—ring with order p.;
Abstract: <正> An associative ring R is called a PSI-ring, if finitely generated proper subrings are isomorphic among themselves. In this paper, we give the structure of PSI—rings: Theorem A PSI—ring A is isomorphic to one of the following types:(1) (p~2)/(p~4); (2)(p)/(p~3); (3)Zp~2, (4) (A,+)■(Q,+)and A~2=0; (5)(p)/(p~2); (6)(p)/(p~2)■(p)/(p~2); (8) An extension field of degree q over Zp, (q is either a prime number or 1); (9) Zp(?)Zp.
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