Araştırma Makalesi
BibTex RIS Kaynak Göster

On S-primary submodules

Yıl 2022, , 74 - 89, 17.01.2022
https://doi.org/10.24330/ieja.1058417

Öz

Let $R$ be a commutative ring with identity, $S$ a multiplicatively closed subset of $R$, and $M$ be an $R$-module.
In this paper, we study and investigate some properties of $S$-primary submodules of $M$. Among the other results, it is shown that this
class of modules contains the family of primary (resp. $S$-prime) submodules properly.

Kaynakça

  • R. Ameri, On the prime submodules of multiplication modules, Int. J. Math. Math. Sci., 27 (2003), 1715-1724.
  • D. D. Anderson and M. Winders, Idealization of a module, J. Commut. Algebra, 1(1) (2009), 3-56.
  • J. Dauns, Prime modules, J. Reine Angew. Math., 298 (1978), 156-181.
  • Z. A. El-Bast and P. F. Smith, Multiplication modules, Comm. Algebra, 16(4) (1988), 755-779.
  • F. Farshadifar, S-secondary submodules of a module, Comm. Algebra, 49(4) (2021), 1394-1404.
  • R. Gilmer, Multiplicative Ideal Theory, Queen's Papers in Pure and Applied Mathematics, 90, Queen's University, Kingston, 1992.
  • C. P. Lu, A module whose prime spectrum has the surjective natural map, Houston J. Math., 33(1) (2007), 125-143.
  • R. L. McCasland and M. E. Moore, On radicals of submodules of finitely generated modules, Canad. Math. Bull., 29(1) (1986), 37-39.
  • R. L. McCasland and M. E. Moore, Prime submodules, Comm. Algebra, 20(6) (1992), 1803-1817.
  • M. Nagata, Local Rings, Interscience Tracts in Pure and Applied Mathematics, 13, 1962.
  • E. Sevim, T. Arabaci, U. Tekir and S. Koc, On S-prime submodules, Turkish J. Math., 43(2) (2019), 1036-1046.
  • F. Wang and H. Kim, Foundations of Commutative Rings and Their Modules, Algebra and Applications, 22, Springer, Singapore, 2016.
Yıl 2022, , 74 - 89, 17.01.2022
https://doi.org/10.24330/ieja.1058417

Öz

Kaynakça

  • R. Ameri, On the prime submodules of multiplication modules, Int. J. Math. Math. Sci., 27 (2003), 1715-1724.
  • D. D. Anderson and M. Winders, Idealization of a module, J. Commut. Algebra, 1(1) (2009), 3-56.
  • J. Dauns, Prime modules, J. Reine Angew. Math., 298 (1978), 156-181.
  • Z. A. El-Bast and P. F. Smith, Multiplication modules, Comm. Algebra, 16(4) (1988), 755-779.
  • F. Farshadifar, S-secondary submodules of a module, Comm. Algebra, 49(4) (2021), 1394-1404.
  • R. Gilmer, Multiplicative Ideal Theory, Queen's Papers in Pure and Applied Mathematics, 90, Queen's University, Kingston, 1992.
  • C. P. Lu, A module whose prime spectrum has the surjective natural map, Houston J. Math., 33(1) (2007), 125-143.
  • R. L. McCasland and M. E. Moore, On radicals of submodules of finitely generated modules, Canad. Math. Bull., 29(1) (1986), 37-39.
  • R. L. McCasland and M. E. Moore, Prime submodules, Comm. Algebra, 20(6) (1992), 1803-1817.
  • M. Nagata, Local Rings, Interscience Tracts in Pure and Applied Mathematics, 13, 1962.
  • E. Sevim, T. Arabaci, U. Tekir and S. Koc, On S-prime submodules, Turkish J. Math., 43(2) (2019), 1036-1046.
  • F. Wang and H. Kim, Foundations of Commutative Rings and Their Modules, Algebra and Applications, 22, Springer, Singapore, 2016.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

H. Ansarı-toroghy Bu kişi benim

S. S. Pourmortazavi Bu kişi benim

Yayımlanma Tarihi 17 Ocak 2022
Yayımlandığı Sayı Yıl 2022

Kaynak Göster

APA Ansarı-toroghy, H., & Pourmortazavi, S. S. (2022). On S-primary submodules. International Electronic Journal of Algebra, 31(31), 74-89. https://doi.org/10.24330/ieja.1058417
AMA Ansarı-toroghy H, Pourmortazavi SS. On S-primary submodules. IEJA. Ocak 2022;31(31):74-89. doi:10.24330/ieja.1058417
Chicago Ansarı-toroghy, H., ve S. S. Pourmortazavi. “On S-Primary Submodules”. International Electronic Journal of Algebra 31, sy. 31 (Ocak 2022): 74-89. https://doi.org/10.24330/ieja.1058417.
EndNote Ansarı-toroghy H, Pourmortazavi SS (01 Ocak 2022) On S-primary submodules. International Electronic Journal of Algebra 31 31 74–89.
IEEE H. Ansarı-toroghy ve S. S. Pourmortazavi, “On S-primary submodules”, IEJA, c. 31, sy. 31, ss. 74–89, 2022, doi: 10.24330/ieja.1058417.
ISNAD Ansarı-toroghy, H. - Pourmortazavi, S. S. “On S-Primary Submodules”. International Electronic Journal of Algebra 31/31 (Ocak 2022), 74-89. https://doi.org/10.24330/ieja.1058417.
JAMA Ansarı-toroghy H, Pourmortazavi SS. On S-primary submodules. IEJA. 2022;31:74–89.
MLA Ansarı-toroghy, H. ve S. S. Pourmortazavi. “On S-Primary Submodules”. International Electronic Journal of Algebra, c. 31, sy. 31, 2022, ss. 74-89, doi:10.24330/ieja.1058417.
Vancouver Ansarı-toroghy H, Pourmortazavi SS. On S-primary submodules. IEJA. 2022;31(31):74-89.