Graded modules with Noetherian graded second spectrum
نویسندگان
چکیده
<abstract><p>Let $ R be a G graded commutative ring and M $-graded $-module. The set of all second submodules is denoted by Spec_G^s(M), it called the spectrum $. We discuss rings with Noetherian prime spectrum. In addition, we introduce notion Zariski socle explore their properties. also investigate Spec^s_G(M) topology from viewpoint being space.</p></abstract>
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ژورنال
عنوان ژورنال: AIMS mathematics
سال: 2023
ISSN: ['2473-6988']
DOI: https://doi.org/10.3934/math.2023335