Localization of hereditary rings

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概要

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• Localization at a torsion theory was introduced and considered when the torsion theory is hereditary. (See e. g. J. S. Golan [2] or B. Stenstrom [7].) The definition of the localization is categorical and hence it can be canonically generalized in the notion of the localization at a torsion theory. (See e. g. H. Tachikawa and K. Ohtake [6].) Among other results in T. Ikeyama [4], it is shown that the localization at a hereditary torsion theory and the localization at a torsion theory are different and that these notions, however, coincide when the category is the the one of right R-modules over an arbitrary right hereditary ring. The latter result was proved using the notion of the full subcategory of the local objects and functors. In this paper, we give another proof using ring theoretic notions.

• 法政大学の論文

著者

• Ikeyama Tamotsu

  College Of Engineering

関連論文

• Localization of hereditary rings

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