ABSORBING MULTIPLICATION MODULES OVER PULLBACK RINGS
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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- [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.