SOME STUDIES ON 2-PRIMAL RINGS, (S,1)-RINGS AND THE CONDITION (KJ)
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In this paper we study the connection between 2-primal rings, (S,1)-rings and related conditions. And we investigate some condition which is the special case of pseudo symmetric. We also study the condition (KJ) which is given by J. Y. Kim and H. L. Jin. We introduce some condition and we prove that our condition is equivalent to the condition (KJ) when it is an (S,1)-ring.
Abstract
In this paper we study the connection between 2-primal rings, (S,1)-rings and related conditions. And we investigate some condition which is the special case of pseudo symmetric. We also study the condition (KJ) which is given by J. Y. Kim and H. L. Jin. We introduce some condition and we prove that our condition is equivalent to the condition (KJ) when it is an (S,1)-ring.
참고문헌 (7)
- G. F. Birkenmeier, "Completely prime ideals and associated radicals, Ring theory", pp.102~129 (1993), World Sci. Publ.
- Y. Hirano, "Some studies on strongly ¼-regular rings", Math. J. Okayama Univ., (2), pp.141~149 (1978)
- S. U. Hwang, "Structure and topological conditions of NI rings", J. Algebra, 302(1), pp.186~199 (2006)
- C. O. Kim, "A study on quasi-duo ring", Bull. Korean Math. Soc., 36(3), pp.579~588 (1999)
- 김진용, "On weak $\Pi$-regularity and the simplicity of prime factor rings", 대한수학회보, 44(1), pp.151~156 (2007), 대한수학회
- N. K. Kim, "On right quasi-duo rings which are ¼-regular", Bull. Korean Math. Soc., 37(2), pp.217~227 (2000)
- G. Shin, "Prime ideals and sheaf representation of a pseudo symmetric ring", Trans. Amer. Math. Soc., 184, pp.43~60 (1973)