On (co)pure Baer injective modules
نویسندگان
چکیده
For a given class of R-modules Q, module M is called Q-copure Baer injective if any map from left ideal R into can be extended to M. Depending on the this concept both dualization and generalization pure injectivity. We show that every embedded as submodule module. Certain types rings are characterized using properties modules. example ring Q-coregular only R-module injective.
منابع مشابه
On quasi-baer modules
Let $R$ be a ring, $sigma$ be an endomorphism of $R$ and $M_R$ be a $sigma$-rigid module. A module $M_R$ is called quasi-Baer if the right annihilator of a principal submodule of $R$ is generated by an idempotent. It is shown that an $R$-module $M_R$ is a quasi-Baer module if and only if $M[[x]]$ is a quasi-Baer module over the skew power series ring $R[[x,sigma]]$.
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ژورنال
عنوان ژورنال: Algebra and discrete mathematics
سال: 2021
ISSN: ['1726-3255', '2415-721X']
DOI: https://doi.org/10.12958/adm1209