Kyungpook Mathematical Journal

제58권3호
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Pages.473-479
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2018
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1225-6951(pISSN)
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0454-8124(eISSN)

경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)

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Notes on Chain Rings and Radicals

Tumurbat, Sodnomkhorloo (Department of Mathematics, National University of Mongolia) ;
Dayantsolmon, Dagva (Department of Mathematics, National University of Mongolia) ;
Khulan, Tumenbayar (Department of Mathematics, National University of Mongolia)

투고 : 2018.03.06
심사 : 2018.07.07
발행 : 2018.09.23

https://doi.org/10.5666/KMJ.2018.58.3.473 인용 PDF KSCI

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초록

We investigate connections in the classes of rings with chain property and the lattice of strongly hereditary radicals.

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참고문헌

B. J. Gardner and R. Wiegandt, Radical theory of rings, Marcel Dekker, Mew York, 2004.
B. J. Gardner and L. Zhian, Small and large radical classes, Comm. Algebra, 20(1992), 2533-2551.
R.F. Rossa and R.L. Tangeman, General heredity for radical theory, Proc. Edinburgh Math. Soc., 20(1976/77), 333-337.
S. Tumurbat, On Amitsur rings, to appear in Quaest. Math.
S. Tumurbat and H. France-Jackson, On prime like radicals, Bull. Aust. Math. Soc., 82(2010), 113-119. https://doi.org/10.1017/S0004972709001129
S. Tumurbat and H. Zand, On small and large radicals, Quaest. Math., 22 (1999), 195-202. https://doi.org/10.1080/16073606.1999.9632074