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Algebraic and homological properties of generalized mixed product ideals

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Abstract

Algebraic and homological invariants of generalized mixed product ideals induced by a monomial ideal are studied. We characterize the Cohen–Macaulay generalized mixed product ideals.

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References

  1. Bayati, S., Herzog, J.: Expansion of monomial ideals and multigraded modules. Rocky Mt. J. Math. 44, 1781–1804 (2014)

    Article  MathSciNet  Google Scholar 

  2. Bruns, W., Herzog, J.: Cohen–Macaulay Rings. Cambridge Studies in Advanced Mathematics, vol. 39. Cambridge University Press, Cambridge (1993)

    MATH  Google Scholar 

  3. Conca, A., De Negri, E.: M-sequences, graph ideals, and ladder ideals of linear type. J. Algebra 211, 599–624 (1999)

    Article  MathSciNet  Google Scholar 

  4. Herzog, J., Hibi, T.: Monomial Ideals. GTM, vol. 260. Springer, Heidelberg (2010)

    MATH  Google Scholar 

  5. Herzog, J., Moghimipor, R., Yassemi, S.: Generalized mixed product ideals. Arch. Math. 103, 39–51 (2014)

    Article  MathSciNet  Google Scholar 

  6. Hoa, T., Tam, N.: On some invariants of a mixed product of ideals. Arch. Math. 94, 327–337 (2010)

    Article  MathSciNet  Google Scholar 

  7. Ionescu, C., Rinaldo, G.: Some algebraic invariants related to mixed product ideals. Arch. Math. 91, 20–30 (2008)

    Article  MathSciNet  Google Scholar 

  8. Moghimipor, R., Tehranian, A.: Linear resolutions of powers of generalized mixed product ideals. Iran. J. Math. Sci. Inform. 14(1), 127–134 (2019)

    MathSciNet  Google Scholar 

  9. Restuccia, G., Villarreal, R.: On the normality of monomial ideals of mixed products. Comm. Algebra 29, 3571–3580 (2001)

    Article  MathSciNet  Google Scholar 

  10. Rinaldo, G.: Betti numbers of mixed product ideals. Arch. Math. 91, 416–426 (2008)

    Article  MathSciNet  Google Scholar 

  11. Rinaldo, G.: Sequentially Cohen–Macaulay mixed product ideals. Algebra Colloq. 22, 223–232 (2015)

    Article  MathSciNet  Google Scholar 

  12. Villareal, H.: Monomial Algebras. Pure and Applied Mathematics. Marcel Dekker Inc., New York (2001)

    Google Scholar 

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Correspondence to Roya Moghimipor.

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Moghimipor, R. Algebraic and homological properties of generalized mixed product ideals. Arch. Math. 114, 147–157 (2020). https://doi.org/10.1007/s00013-019-01387-6

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  • DOI: https://doi.org/10.1007/s00013-019-01387-6

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