MMN-1219

Primary-like submodules and a scheme over the primary-like spectrum of modules

H. Fazaeli Moghimi; F. Rashedi;

Abstract

Let $R$ be a commutative ring with identity and $M$ be a unitary $R$-module. In this paper, we obtain a scheme $(\x(M),\mathbb{O}_{\x(M)})$ over the primary-like spectrum $\x(M)$ of $M$ and prove that $(\x(M),\mathbb{O}_{\x(M)})$ is a Noetherian scheme when $R$ is a Noetherian ring.


Vol. 18 (2017), No. 2, pp. 961-974
DOI: https://doi.org/10.18514/MMN.2017.1219


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