Research Article

ABSORBING MULTIPLICATION MODULES OVER PULLBACK RINGS

Volume: 21 Number: 21 January 17, 2017
EN

ABSORBING MULTIPLICATION MODULES OVER PULLBACK RINGS

Abstract

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.

Keywords

References

  1. [1] D. M. Arnold and R. C. Laubenbacher, Finitely generated modules over pullback
  2. rings, J. Algebra, 184(1) (1996), 304-332.
  3. [2] A. Badawi, On 2-absorbing ideals of commutative rings, Bull. Austral. Math.
  4. Soc., 75(3) (2007), 417-429.
  5. [3] A. Badawi, U. Tekir and E. Yetkin, On 2-absorbing primary ideals in commutative
  6. rings, Bull. Korean Math. Soc., 51(4) (2014), 1163-1173.
  7. [4] A. Badawi, U. Tekir and E. Yetkin, On weakly 2-absorbing primary ideals of
  8. commutative rings, J. Korean Math. Soc., 52(1) (2015), 97-111.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

January 17, 2017

Submission Date

March 2, 2017

Acceptance Date

November 3, 2016

Published in Issue

Year 2017 Volume: 21 Number: 21

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
1.Atani SE, Bazari MSS. ABSORBING MULTIPLICATION MODULES OVER PULLBACK RINGS. IEJA. 2017;21(21):76-90. doi:10.24330/ieja.296034
Chicago
Atani, S. Ebrahimi, and M. Sedghi Shanbeh Bazari. 2017. “ABSORBING MULTIPLICATION MODULES OVER PULLBACK RINGS”. International Electronic Journal of Algebra 21 (21): 76-90. https://doi.org/10.24330/ieja.296034.
EndNote
Atani SE, Bazari MSS (January 1, 2017) ABSORBING MULTIPLICATION MODULES OVER PULLBACK RINGS. International Electronic Journal of Algebra 21 21 76–90.
IEEE
[1]S. E. Atani and M. S. S. Bazari, “ABSORBING MULTIPLICATION MODULES OVER PULLBACK RINGS”, IEJA, vol. 21, no. 21, pp. 76–90, Jan. 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 (January 1, 2017): 76-90. https://doi.org/10.24330/ieja.296034.
JAMA
1.Atani SE, Bazari MSS. ABSORBING MULTIPLICATION MODULES OVER PULLBACK RINGS. IEJA. 2017;21:76–90.
MLA
Atani, S. Ebrahimi, and M. Sedghi Shanbeh Bazari. “ABSORBING MULTIPLICATION MODULES OVER PULLBACK RINGS”. International Electronic Journal of Algebra, vol. 21, no. 21, Jan. 2017, pp. 76-90, doi:10.24330/ieja.296034.
Vancouver
1.S. Ebrahimi Atani, M. Sedghi Shanbeh Bazari. ABSORBING MULTIPLICATION MODULES OVER PULLBACK RINGS. IEJA. 2017 Jan. 1;21(21):76-90. doi:10.24330/ieja.296034

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