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Dergiler / International Electronic Journal of Algebra / 2017 / Cilt: 21 - Sayı: 21

ABSORBING MULTIPLICATION MODULES OVER PULLBACK RINGS

S. Ebrahimi Atani
M. Sedghi Shanbeh Bazari
Sayfa
76–90
Yayın Tarihi
2017-01-17
DOI
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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.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Following some ideas and a technique introduced in [Comm.
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Temel Bulgular & Veri:Following some ideas and a technique introduced in [Comm.
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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:2013 Verileri
⚙️Değişkenler:Pullback · separated · non-separated

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.

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Bu Makaleye Atıf Yap

Atani, S. E., Bazari, M. S. S. (2017). ABSORBING MULTIPLICATION MODULES OVER PULLBACK RINGS. International Electronic Journal of Algebra, Cilt: 21 - Sayı: 21, 76–90. https://ajindex.com/articles/832359

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Kaynakça (8)

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  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
  5. 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)
  6. S. Ebrahimi Atani, On pure-injective modules over pullback rings, Comm. Algebra, 28(9) (2000), 4037-4069
  7. S. Ebrahimi Atani, On secondary modules over Dedekind domains, Southeast Asian Bull. Math, 25(1) (2001), 1-6
  8. S. Ebrahimi Atani, On secondary modules over pullback rings, Comm. Algebra, 30(6) (2002), 2675-2685.