Araştırma Makalesi
BibTex RIS Kaynak Göster

ABSORBING MULTIPLICATION MODULES OVER PULLBACK RINGS

Yıl 2017, Cilt: 21 Sayı: 21, 76 - 90, 17.01.2017
https://doi.org/10.24330/ieja.296034

Öz

Following some ideas and a technique introduced in [Comm. Algebra
41 (2013), pp. 776-791] we give a complete classification, up to isomorphism,
of all indecomposable 2-absorbing multiplication modules with finitedimensional
top over pullback of two discrete valuation domains with the same
residue field.

Kaynakça

  • [1] D. M. Arnold and R. C. Laubenbacher, Finitely generated modules over pullback
  • rings, J. Algebra, 184(1) (1996), 304-332.
  • [2] A. Badawi, On 2-absorbing ideals of commutative rings, Bull. Austral. Math.
  • Soc., 75(3) (2007), 417-429.
  • [3] A. Badawi, U. Tekir and E. Yetkin, On 2-absorbing primary ideals in commutative
  • rings, Bull. Korean Math. Soc., 51(4) (2014), 1163-1173.
  • [4] A. Badawi, U. Tekir and E. Yetkin, On weakly 2-absorbing primary ideals of
  • commutative rings, J. Korean Math. Soc., 52(1) (2015), 97-111.
  • [6] Ju. A. Drozd, Matrix problems and categories of matrices, In: Zap. Nauchn.
  • Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 28 (1972), 144-153 (in
  • Russian).
  • [7] S. Ebrahimi Atani, On pure-injective modules over pullback rings, Comm. Algebra,
  • 28(9) (2000), 4037-4069.
  • [8] S. Ebrahimi Atani, On secondary modules over Dedekind domains, Southeast
  • Asian Bull. Math, 25(1) (2001), 1-6.
  • [9] S. Ebrahimi Atani, On secondary modules over pullback rings, Comm. Algebra,
  • 30(6) (2002), 2675-2685.
Yıl 2017, Cilt: 21 Sayı: 21, 76 - 90, 17.01.2017
https://doi.org/10.24330/ieja.296034

Öz

Kaynakça

  • [1] D. M. Arnold and R. C. Laubenbacher, Finitely generated modules over pullback
  • rings, J. Algebra, 184(1) (1996), 304-332.
  • [2] A. Badawi, On 2-absorbing ideals of commutative rings, Bull. Austral. Math.
  • Soc., 75(3) (2007), 417-429.
  • [3] A. Badawi, U. Tekir and E. Yetkin, On 2-absorbing primary ideals in commutative
  • rings, Bull. Korean Math. Soc., 51(4) (2014), 1163-1173.
  • [4] A. Badawi, U. Tekir and E. Yetkin, On weakly 2-absorbing primary ideals of
  • commutative rings, J. Korean Math. Soc., 52(1) (2015), 97-111.
  • [6] Ju. A. Drozd, Matrix problems and categories of matrices, In: Zap. Nauchn.
  • Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 28 (1972), 144-153 (in
  • Russian).
  • [7] S. Ebrahimi Atani, On pure-injective modules over pullback rings, Comm. Algebra,
  • 28(9) (2000), 4037-4069.
  • [8] S. Ebrahimi Atani, On secondary modules over Dedekind domains, Southeast
  • Asian Bull. Math, 25(1) (2001), 1-6.
  • [9] S. Ebrahimi Atani, On secondary modules over pullback rings, Comm. Algebra,
  • 30(6) (2002), 2675-2685.
Toplam 17 adet kaynakça vardır.

Ayrıntılar

Bölüm Makaleler
Yazarlar

S. Ebrahimi Atani

M. Sedghi Shanbeh Bazari

Yayımlanma Tarihi 17 Ocak 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 21 Sayı: 21

Kaynak Göster

APA Atani, S. E., & Bazari, M. S. S. (2017). ABSORBING MULTIPLICATION MODULES OVER PULLBACK RINGS. International Electronic Journal of Algebra, 21(21), 76-90. https://doi.org/10.24330/ieja.296034
AMA Atani SE, Bazari MSS. ABSORBING MULTIPLICATION MODULES OVER PULLBACK RINGS. IEJA. Ocak 2017;21(21):76-90. doi:10.24330/ieja.296034
Chicago Atani, S. Ebrahimi, ve M. Sedghi Shanbeh Bazari. “ABSORBING MULTIPLICATION MODULES OVER PULLBACK RINGS”. International Electronic Journal of Algebra 21, sy. 21 (Ocak 2017): 76-90. https://doi.org/10.24330/ieja.296034.
EndNote Atani SE, Bazari MSS (01 Ocak 2017) ABSORBING MULTIPLICATION MODULES OVER PULLBACK RINGS. International Electronic Journal of Algebra 21 21 76–90.
IEEE S. E. Atani ve M. S. S. Bazari, “ABSORBING MULTIPLICATION MODULES OVER PULLBACK RINGS”, IEJA, c. 21, sy. 21, ss. 76–90, 2017, doi: 10.24330/ieja.296034.
ISNAD Atani, S. Ebrahimi - Bazari, M. Sedghi Shanbeh. “ABSORBING MULTIPLICATION MODULES OVER PULLBACK RINGS”. International Electronic Journal of Algebra 21/21 (Ocak 2017), 76-90. https://doi.org/10.24330/ieja.296034.
JAMA Atani SE, Bazari MSS. ABSORBING MULTIPLICATION MODULES OVER PULLBACK RINGS. IEJA. 2017;21:76–90.
MLA Atani, S. Ebrahimi ve M. Sedghi Shanbeh Bazari. “ABSORBING MULTIPLICATION MODULES OVER PULLBACK RINGS”. International Electronic Journal of Algebra, c. 21, sy. 21, 2017, ss. 76-90, doi:10.24330/ieja.296034.
Vancouver Atani SE, Bazari MSS. ABSORBING MULTIPLICATION MODULES OVER PULLBACK RINGS. IEJA. 2017;21(21):76-90.