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Dergiler / Sigma Journal of Engineering and Natural Sciences / 2018 / Cilt: 36 Sayı: 2

SOME RESULTS ON DELTA–PRIMARY SUBMODULES OF MODULES

Gürsel YEŞİLOT
Esra ŞENGELEN SEVİM
Gülşen ULUCAK
Emel ASLANKARAYİĞİT UĞURLU
Sayfa
459–464
Yayın Tarihi
2018-06-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

A number of main results about prime and primary submodules are extended into this general framework.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper we investigate -primary submodules which unify prime submodules and primary submodules.
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Temel Bulgular & Veri:Our motivation is to extend the concept of -primary ideals into -primary submodules of modules over commutative rings.
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Sonuç & Katkı:A number of main results about prime and primary submodules are extended into this general framework.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Expansion of submodules -primary submodules · multiplication modules. · commutative rings

Abstract

In this paper we investigate -primary submodules which unify prime submodules and primary submodules. Our motivation is to extend the concept of -primary ideals into -primary submodules of modules over commutative rings. A number of main results about prime and primary submodules are extended into this general framework.

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Bu Makaleye Atıf Yap

YEŞİLOT, G., SEVİM, E. Ş., ULUCAK, G., UĞURLU, E. A. (2018). SOME RESULTS ON DELTA–PRIMARY SUBMODULES OF MODULES. Sigma Journal of Engineering and Natural Sciences, Cilt: 36 Sayı: 2, 459–464. https://ajindex.com/articles/897738

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Kaynakça (9)

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  3. Dongsheng Z., (2001) -primary Ideals of Commutative Rings, Kyungpook Math. J., 41, 17-22
  4. Oral K. H., Tekir U. and Agargun A. G., (2011) On Graded Prime and Primary Submodules, Turk J. Math., 35, 159 – 167
  5. Tekir U., (2006) A Note on Multiplication Modules, Inter. J. of Pure and Appl. Math., 27(1), 103-107
  6. Tekir U., (2007) On Multiplication Modules, International Mathematical Forum, 29, 1415-1420
  7. J. Nezhad R. and Naderi M. H., (2009) On Prime and Semiprime Submodules of Multiplication Modules, International Mathematical Forum, 4(26), 1257 - 1266
  8. Nader M. H. and J. Nezhad R., (2009) Weak Primary Submodules of Multiplication Modules and Intersection Theorem, Int. J. Contemp. Math. Sciences, 4(33), 1645 - 1652
  9. Khaksari A., (2011) Weakly Pure Submodules of Multiplication Modules, International Journal of Algebra, 5(5), 247 - 250.