Dergiler / International Electronic Journal of Algebra / 2020 / Cilt: 27 - Sayı: 27

$\psi$-SECONDARY SUBMODULES OF A MODULE

Sayfa
77–87
Yayın Tarihi
2020-01-07
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 $M$.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Let $R$ be a commutative ring with identity and $M$ be an $R$-module.
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Temel Bulgular & Veri:Let $\psi : S(M)\rightarrow S(M) \cup \{\emptyset \}$ be a function, where $S(M)$ denote the set of all submodules of $M$.
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Sonuç & Katkı: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 $M$.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Secondary submodule · phi-prime ideal · weak secondary submodule

Abstract

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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Bu Makaleye Atıf Yap

FARSHADİFAR, F., ANSARİ-TOROGHY, H. (2020). $\psi$-SECONDARY SUBMODULES OF A MODULE. International Electronic Journal of Algebra, Cilt: 27 - Sayı: 27, 77–87. https://ajindex.com/articles/832268

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Kaynakça (9)

  1. D. D. Anderson and M. Bataineh, Generalizations of prime ideals, Comm. Algebra, 36(2) (2008), 686-696.
  2. H. Ansari-Toroghy and F. Farshadifar, The dual notion of multiplication mod- ules, Taiwanese J. Math., 11(4) (2007), 1189-1201.
  3. H. Ansari-Toroghy, F. Farshadifar, S. S. Pourmortazavi and F. Khaliphe, On secondary modules, Int. J. Algebra, 6(16) (2012), 769-774.
  4. M. Bataineh and S. Kuhail, Generalizations of primary ideals and submodules, Int. J. Contemp. Math. Sci., 6(17) (2011), 811-824.
  5. J. Dauns, Prime modules, J. Reine Angew. Math., 298 (1978), 156-181. F. Farshadifar and H. Ansari-Toroghy, -second submodules of a module, sub- mitted. L. Fuchs, W. Heinzer and B. Olberding, Commutative ideal theory without niteness conditions: Irreducibility in the quotient led, in: Abelian Groups, Rings, Modules, and Homological Algebra, Lect. Notes Pure Appl. Math., Chapman & Hall/CRC, Boca Raton, FL, 249 (2006), 121-145.
  6. I. G. Macdonald, Secondary representation of modules over a commutative ring, Symposia Mathematica (Convegno di Algebra Commutativa, INDAM, Rome, 1971),
  7. Academic Press,
  8. London, XI (1973), 23-43.
  9. S. Yassemi, The dual notion of prime submodules, Arch. Math. (Brno), 37(4) (2001), 273-278. N. Zamani, phi-prime submodules, Glasg. Math. J., 52(2) (2010), 253-259.