$\psi$-SECONDARY SUBMODULES OF A MODULE

$\psi$-SECONDARY SUBMODULES OF A MODULE

Let $R$ be a commutative ring with identity and $M$ be an $R$-module. Let $\psi : S(M)\rightarrow S(M) \cup \{\emptyset \}$ be a function, where $S(M)$ denote the set of all submodules of $M$. The main purpose of this paper is to introduce and investigate the notion of $\psi$-secondary submodules of an $R$-module $M$ as a generalization of secondary submodules of $M$.

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International Electronic Journal of Algebra-Cover
  • ISSN: 1306-6048
  • Yayın Aralığı: Yılda 2 Sayı
  • Başlangıç: 2007
  • Yayıncı: Abdullah HARMANCI