A generalization of purely extending modules relative to a torsion theory
نویسندگان
چکیده
In this work we introduce a new concept, namely, τ s τs -extending modules (rings) which is torsion-theoretic analogues of extending and then extend many results from to concept. For instance show that for any ring R with unit, if $_{R}R$ purely only every cyclic -nonsingular -module flat. Also, make classification the direct sums rings be -extending.
منابع مشابه
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relative to a hereditary torsion theory $tau$ we introduce a dimension for a module $m$, called {em $tau$-rank of} $m$, which coincides with the reduced rank of $m$ whenever $tau$ is the goldie torsion theory. it is shown that the $tau$-rank of $m$ is measured by the length of certain decompositions of the $tau$-injective hull of $m$. moreover, some relations between the $tau$-rank of $m$ and c...
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ژورنال
عنوان ژورنال: Communications Faculty of Sciences University of Ankara. Series A1: mathematics and statistics
سال: 2021
ISSN: ['1303-5991']
DOI: https://doi.org/10.31801/cfsuasmas.898637