The Zariski topology on the graded primary spectrum of a graded module over a graded commutative ring
Abstract
Let $R$ be a $G$graded ring and M be a $G$graded $R$module. We define the graded primary spectrum of $M$, denoted by $\mathcal{PS}_G(M)$, to be the set of all graded primary submodules $Q$ of M such that $(Gr_M(Q):_R M)=Gr((Q:_R M))$. In this paper, we define a topology on $\mathcal{PS}_G(M)$ having the Zariski topology on the graded prime spectrum $Spec_G(M)$ as a subspace topology, and investigate several topological properties of this topological space.
 Publication:

arXiv eprints
 Pub Date:
 September 2021
 arXiv:
 arXiv:2109.10113
 Bibcode:
 2021arXiv210910113S
 Keywords:

 Mathematics  Commutative Algebra