Dergiler / International Electronic Journal of Algebra / 2019 / Cilt: 26 - Sayı: 26

ON QUASI COMULTIPLICATION MODULES OVER PULLBACK RINGS

Sayfa
95–110
Yayın Tarihi
2019-07-11
DOI
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We classify all indecomposable quasi comultiplication modules

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:We classify all indecomposable quasi comultiplication modules
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Temel Bulgular & Veri:We classify all indecomposable quasi comultiplication modules
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Sonuç & Katkı:We classify all indecomposable quasi comultiplication modules
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Pullback · separated module · quasi comultiplication module

Abstract

We classify all indecomposable quasi comultiplication modules

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Bu Makaleye Atıf Yap

ATANİ, S. E., SARAEİ, F. E. K. (2019). ON QUASI COMULTIPLICATION MODULES OVER PULLBACK RINGS. International Electronic Journal of Algebra, Cilt: 26 - Sayı: 26, 95–110. https://ajindex.com/articles/832290

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Kaynakça (13)

  1. A. Abbasi and D. Hassanzadeh-Lelekaami, Quasi-prime submodules and developed Zariski topology, Algebra Colloq., 19 (2012), 1089-1108.
  2. D. M. Arnold and R. C. Laubenbacher, Finitely generated modules over pullback rings, J. Algebra, 184 (1996), 304-332.
  3. I. Assem, D. Simson and A. Skowronski, Elements of the Representation Theory of Associative Algebras, Vol.1, Techniques of Representation Theory, London Mathematical Society Student Texts, 65, Cambridge University Press, Cambridge, 2006.
  4. H. Bass, On the ubiquity of Gorenstein rings, Math. Z., 82 (1963), 8-28.
  5. S. Ebrahimi Atani, On pure-injective modules over pullback rings, Comm. Algebra, 28 (2000), 4037-4069.
  6. S. Ebrahimi Atani, On secondary modules over pullback rings, Comm. Algebra, 30 (2002), 2675-2685. R. Ebrahimi Atani and S. Ebrahimi Atani, Comultiplication modules over a pullback of Dedekind domains, Czechoslovak Math. J., 59 (2009), 1103-1114. R. Ebrahimi Atani and S. Ebrahimi Atani, Weak comultiplication modules over a pullback of commutative local Dedekind domains, Algebra Discrete Math., 1 (2009), 1-13. R. Ebrahimi Atani and S. Ebrahimi Atani, On primarily multiplication modules over pullback rings, Algebra Discrete Math., 11 (2011), 1-17. S. Ebrahimi Atani and F. Esmaeili Khalil Saraei, Indecomposable primarily comultiplication modules over a pullback of two Dedekind domains, Colloq. Math., 120 (2010), 23-42. S. Ebrahimi Atani and F. Esmaeili Khalil Saraei, On P-torsion modules over a pullback of two Dedekind domains, Georgian Math. J., 19 (2012), 473-488.
  7. S. Ebrahimi Atani, S. Dolati Pish Hesari, M. Khoramdel and M. Sedghi Shanbeh Bazari, Absorbing comultiplication modules over a pullback ring, Int. Electron. J. Algebra, 24 (2018), 31-49.
  8. F. Esmaeili Khalil Saraei, On pseudo-prime multiplication modules over pullback rings, Colloq. Math., 143 (2016), 63-78.
  9. A. Facchini, Fiber products and Morita duality for commutative rings, Rend. Sem. Mat. Univ. Padova, 67 (1982), 143-159.
  10. A. Facchini and P. Vamos, Injective modules over pullbacks, J. London Math. Soc., 31 (1985), 425-438.
  11. W. J. Heinzer, L. J. Ratlif, Jr. and D. E. Rush, Strongly irreducible ideals of a commutative ring, J. Pure Appl. Algebra, 166 (2002), 267-275.
  12. R. Kielpinski, On Gamma-pure injective modules, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys., 15 (1967), 127-131.
  13. V. V. Kiricenko, Classi cation of the pairs of mutually annihilating operators in a graded space and representations of a dyad of generalized uniserial algebra