n-T -torsionfree modules
نویسندگان
چکیده
منابع مشابه
EXTENSION CLOSURE OF RELATIVE k-TORSIONFREE MODULES
Let be a ring. We use mod (resp. mod ) to denote the category of finitely generated left -modules (resp. right -modules). We always assume that and are Artinian algebras and is a faithfully balanced self-orthogonal bimodule, that is, satisfies the following conditions: (1) is in mod and is in mod ; (2) the natural maps → End op and → End are isomorphisms; (3) Ext = 0 and Ext = 0 for any i ≥ 1. ...
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Acknowledgements I would like to express my gratitude to my advisor, Manuel Saorín Castaño, whose presence and help have been decisive to carry out this work. I am grateful to K. Fuller for pointing out some references used in Example 2.6.2, to K. Goodearl for telling us about key results in [37, 100] used in Chapter 3, and to J. Trlifaj for suggesting Lemma 6.3.14 and Example 6.3.15. Also, I a...
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we introduce the notions of t-dual rickart and strongly t-dual rickart modules. we provide several characterizations and investigate properties of each of these concepts. it is shown that every free (resp. finitely generated free) $r$-module is t-dual rickart if and only if $overline{z}^2(r)$ is a direct summand of $r$ and end$(overline{z}^2(r))$ is a semisimple (resp. regular) ring. it is sho...
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ژورنال
عنوان ژورنال: TURKISH JOURNAL OF MATHEMATICS
سال: 2019
ISSN: 1303-6149
DOI: 10.3906/mat-1808-134