Publications

April 11th, 2021
  1. On the embedded associated primes of monomial ideals, with Mirsadegh Sayedsadeghi, Mehrdad Nasernejad, accepted in Rocky Mountain Journal of Mathematics.
  2. Regularity and Gorenstein property of L-convex polyominoes, with Viviana Ene, Jürgen Herzog, Francesco Romeo, Electronic Journal of Combinatorics, in press.
  3. On reduced Archimedean skew power series rings, with Hamed Mousavi and Farzad Padashnik, Journal of Algebra and Its Applications, DOI: 10.1142/S0219498822500426 
  4. Restricted classes of Veronese type ideals and algebras, with Rodica Dinu and Jürgen Herzog, International Journal of Algebra and Computations, Vol. 31, No 1, pp 173-197, 2021.
  5. T-spread strongly stable monomial ideals, with Jürgen Herzog and Viviana Ene, Communications in Algebra, 47:12, 5303-5316, 2019, DOI: 10.1080/00927872.2019.1617876
  6. Fiber cone of a monomial ideal in 2 variable, with Jürgen Herzog and Maryam Mohammadi Saem, Journal of Symbolic computation, Vol. 94, Pages 52-69, 2019 (doi.org/10.1016/j.jsc.2018.06.022).
  7. 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.org/10.1090/proc/13502).
  8. Simple polyominoes are prime, with Takafumi Shibata and Akihiro Shikama, Journal of Commutative Algebra, Vol. 9, No. 3, pp. 413-422, Fall 2017. 
  9. 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). 
  10. 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.
  11. 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.
  12. Gröbner bases of balanced polyominoes, with Jürgen Herzog and Akihiro Shikama, Mathematische Nachrichten, Vol. 288, No. 7, pp. 775-783, 2015.
  13. 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.
  14. A Koszul filtration for the second squarefree Veronese subring, with Takayuki Hibi, Akihiro Shikama, International Journal of Algebra, Vol. 9, pp. 7-14, 2015.
  15. 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.
  16. Indispensable Hibi relations and Gröbner basis, Algebra Colloquium, Vol. 22, No. 4, pp. 567-580, 2015.
  17. Nonsimple polyominoes and prime ideals, with Takayuki Hibi, Illinois Journal of Mathematics, Vol. 59, No. 2, pp. 391-398, 2015.
  18. 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. 
  19. 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.
  20. Regularity of join-meet ideals of distributive lattices, with Viviana Ene, Asia Rauf, Electronic Journal of Combinatorics, Vol. 20, No. 3, P20, 2013. 
  21. Ideals generated by diagonal 2-minors, with Viviana Ene, Communications in Algebra, Vol. 41, No. 8, pp.3058-3066, 2013. 
  22. Ideals generated by 2-minors, collections of cells and stack polyominoes, Journal of Algebra, Vol. 357, No. 3, pp. 279 – 303, July, 2012.

Submitted:

 1. Second power of cover ideals of paths, with Nursel Erey, submitted, (available on arXiv).

2. On the matroidal path ideal, with Kazem Kashyarmanesh and Mehrdad NAsernejad