Modules of Quotients over Commutative Rings
Commun. Korean Math. Soc. 1999 Vol. 14, No. 2, 287-293
Jaegook Lee, Seog-Hoon Rim
Kyungpook National University, Kyungpook National University
Abstract : In this paper, we give an affirmative answer to the question raised in [5]; whether ${\Cal L}(({\Cal P}))$ is principal or not. Using this fact, we try to give concrete form of module of quotient with respect to a torsion theory determined by ${\Cal L}(({\Cal P}))$.
Keywords : Gabriel filter, modules of quotients, principal filter
MSC numbers : 16D60, 16D50
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