Publications

Submitted:

  1.  Hilbert series of Parallelogram Polyominoes, with Francesco Romeo and Giancarlo Rinaldo. arXiv:2111.01907 
  2.  Ideals with linear quotients and componentwise polymatroidal ideals, with Somayeh Bandari. arXiv:2108.00531
  3.  On the matroidal path ideal, with Kazem Kashyarmanesh and Mehrdad Nasernejad. arXiv:2105.05910

Refereed Papers:

  1. Classes of normally and nearly normally torsion-free monomial ideals, with Kazem Kashyarmanesh, Mehrdad Nasernejad and Leslie G. Roberts. Accepted in Communications in Algebra
    arXiv:2106.10219

  2. Dominating ideals and closed neighborhood ideals of graphs , with Mehrdad Nasernejad, Somayeh Bandari, Asli Musapasaoglu. Accepted in The Mediterranean Journal of Mathematics.

  3. On the embedded associated primes of monomial ideals, with Mirsadegh Sayedsadeghi, Mehrdad Nasernejad. Accepted in Rocky Mountain Journal of Mathematics. 

  4. Second power of cover ideals of paths, with Nursel Erey. Accepted in Algebra Colloquium.

  5. Regularity and Gorenstein property of L-convex polyominoes, with Viviana Ene, Jürgen Herzog, Francesco Romeo, Electronic Journal of Combinatorics, Vol. 28( 1), PI.50,  2021.  DOI: 10.37236/9531 .

  6. On reduced Archimedean skew power series rings, with Hamed Mousavi and Farzad Padashnik, Journal of Algebra and Its Applications, Published online. DOI: 10.1142/S0219498822500426 

  7. Restricted classes of Veronese type ideals and algebras, with Rodica Dinu and Jürgen Herzog, International Journal of Algebra and Computations, Vol. 31, No. 01, pp. 173-197, 2021.  DOI: 10.1142/S0218196721500090 

  8. T-spread strongly stable monomial ideals, with Jürgen Herzog and Viviana Ene, Communications in Algebra, Vol.47, No.12, pp. 5303-5316.  DOI: 10.1080/00927872.2019.1617876

  9. Fiber cone of a monomial ideal in 2 variables, with Jürgen Herzog and Maryam Mohammadi Saem, Journal of Symbolic computation, Vol. 94, pp. 52-69, 2019.  DOI: 10.1016/j.jsc.2018.06.022

  10. On the relations of isotonian algebras, with Jürgen Herzog and Akihiro Shikama, Proceedings of American Mathematical Society, Vol. 145, No. 10, pp. 4119-4226, 2017.  DOI: 10.1090/proc/13502.

  11. Simple polyominoes are prime, with Takafumi Shibata and Akihiro Shikama, Journal of Commutative Algebra, Vol. 9, No. 3, pp. 413-422, Fall 2017.  DOI: 10.1216/JCA-2017-9-3-413

  12. Isotonian Algebras, Mina Bigdeli, Jürgen Herzog, Takayuki Hibi and Akihiro Shikama, Nagoya Mathematical Journal, Vol. 230, pp. 83-101, June 2018.  DOI: 10.1017/nmj.2017.4

  13. Hankel ideals of 2-minors associated with pairs of proper intervals graphs, with Faryal Chaudhry, Journal of Algebra and its Applications, Vol. 16, No. 4, pp. 1750070, 2017. DOI: 10.1142/S0219498817500700

  14. Alexander duality for monomial ideals associated with isotone maps between posets, with Jürgen Herzog and Akihiro Shikama, Journal of Algebra and its Applications, Vol. 14, No. 5, pp. 1650089, 2016. DOI: 10.1142/S0219498816500894

  15. Gröbner bases of balanced polyominoes, with J. Herzog and A. Shikama, Mathematische Nachrichten, Vol. 288, No. 7, pp. 775-783, 2015. DOI: 10.1002/mana.201400153

  16. Polarization of Koszul cycles with applications to powers of edge ideals of Whisker graphs with Jürgen Herzog, Takayuki Hibi, Proceedings of American Mathematical Society, Vol. 143(7), pp. 2767-2778, 2015.  DOI: ​​10.1090/S0002-9939-2015-12456-2

  17. Persistence and stability properties of powers of ideals, with Jürgen Herzog, Journal of Pure and Applied Algebra, Vol. 219, No. 3, pp. 530-542, 2015.  DOI: 10.1016/j.jpaa.2014.05.011

  18. Indispensable Hibi relations and Gröbner basis, Algebra Colloquium, Vol. 22, No. 4, pp. 567-580, 2015.  DOI: 10.1142/S1005386715000498

  19. Nonsimple polyominoes and prime ideals, with Takayuki Hibi, Illinois Journal of Mathematics, Vol. 59, No. 2, pp. 391-398, 2015.  DOI: 10.1215/ijm/1462450707

  20. The binomial edge ideal of a pair of graphs, with Viviana Ene, Jürgen Herzog, Takayuki Hibi, Nagoya Mathematical Journal, Vol. 213, pp. 105-125, 2014. DOI: 10.1215/00277630-2389872

  21. On characteristic poset and Stanley Decomposition, with Sarfraz Ahmad, Imran Anwar, Analele Stintifice ale Universitatii Ovidius Constanta-Seria Mathematica, Vol. 22(2), pp. 21-28, 2015.  DOI: 10.2478/auom-2014-0027

  22. Regularity of join-meet ideals of distributive lattices, with Viviana Ene, Asia Rauf, Electronic Journal of Combinatorics, Vol. 20, No. 3, P20, 2013.  DOI: 10.37236/3621

  23. Ideals generated by diagonal 2-minors, with V. Ene, Communications in Algebra, Vol. 41, No. 8, pp.3058-3066, 2013.   DOI: 10.1080/00927872.2012.672603

  24. Ideals generated by 2-minors, collections of cells and stack polyominoes, Journal of Algebra, Vol. 357, No. 3, pp. 279 – 303, July, 2012.  DOI: 10.1016/j.jalgebra.2012.01.032

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