Research

List of publications

Books:

V. Ene, J. Herzog, Groebner bases in Commutative Algebra, Graduate Studies in Mathematics 130, American Mathematical Society, Providence, RI, 2012, 164 pp.

Coeditor:

V. Ene, E. Miller, Combinatorial Aspects of Commutative Algebra, Proceedings of an Exploratory Workshop on Combinatorial Commutative Algebra and Computer Algebra held in Mangalia, Romania, May 29-31, 2008. Contemporary Mathematics, vol. 502, American Mathematical Society, Providence, RI, 2009. vii+184pp.

V. Ene, E. Miller, Multigraded Algebra and Applications: NSA 24, Moieciu de Sus, Romania, Springer Proceedings in Mathematics & Statistics vol. 238, Springer, New York, 2018. (xi + 167 pages)

Papers:

V. Ene, G. Rinaldo, N. Terai, Sequentially Cohen-Macaulay binomial edge ideals of closed graphs, Res. Math. Sci. 9(3) (2022), Article Number: 39.

V. Ene, G. Rinaldo, N. Terai, Powers of binomial edge ideals with quadratic Gröbner bases, Nagoya Math. J. 246 (2022), 233-255.

R. Dinu, V. Ene, T. Hibi, On the regularity of join-meet ideals of modular lattices, J. Commut. Algebra 13 (2021) No.4, 479-488

V. Ene, J. Herzog, A. Qureshi, F. Romeo, Regularity and the Gorenstein property of L-convex Polyominoes, Electron. J. Combin. 28(1) (2021), #P1.50.

V. Ene, G. Rinaldo, N. Terai, Licci binomial edge ideals, J. Combin. Theory Ser. A 175 (2020), Article Number: 105278

V. Ene, J. Herzog, A. Qureshi, t-spread strongly stable monomial ideals, Comm. Algebra 47 (12) (2019), 5303-5316.

D. Banaru, V. Ene, Compatible Algebras with Straightening Laws on Distributive Lattices, in the Special Issue Current Trends on Monomial and Binomial Ideals (Eds T. H. Ha, T. Hibi), Mathematics 7(8) (2019), 671.

C. Andrei, V. Ene, B. Lajmiri, Powers of t-spread principal Borel ideals, Arch. Math. 112 (2019) , 587-597.

H. Baskoroputro, V. Ene, C. Ion, Koszul binomial edge ideals of pairs of graphs, J. Algebra 515 (2018), 344-359.

V. Ene, J. Herzog, D. Stamate, Anticanonical modules of Segre products, Bull. Math. Soc. Sci. Math. Roumanie Tome 60 (108) no.4 (2017), 373—386.

V. Ene, J. Herzog, S. Saeedi Madani, A note on the regularity of Hibi rings, Manuscripta Math. 148 no. 3-4 (2015), 501-506.

V. Ene, J. Herzog, T. Hibi, Linear flags and Koszul filtrations, Kyoto J. Math. 55 (2015) no.3, 517-530.

V. Ene, J. Herzog, T. Hibi, Linearly related polyominoes, J. Algebraic Combin. 41 (2015), 949-968.

V. Ene, J. Herzog, T. Hibi, S. Saeedi Madani, Pseudo-Gorenstein and level Hibi rings, J. Algebra, 431 (2015), 138-161.

V. Ene, Syzygies of Hibi rings, Acta Math. Vietnam., Special Issue: Commutative Algebra and its Interaction with Algebraic Geometry and Combinatorics II, 40 (2015) no. 3, 403-446.

F. Chaudhry, A. Dokuyucu, V. Ene, Binomial edge ideals and rational normal scrolls, Bull. Iranian Math. Soc. 41 (2015), no. 4, 971–979.

V. Ene, A. Zarojanu, On the regularity of binomial edge ideals, Math. Nachr. 288 (1) (2015), 19-24.

V. Ene, J. Herzog, T. Hibi, A. A. Qureshi, The binomial edge ideal of a pair of graphs, Nagoya Math. J. 213 (2014), 105-125.

V. Ene, A. A. Qureshi, A. Rauf, Regularity of join-meet ideals of distributive lattices, Electron J. Combin. 20 (3) (2013) #P20.

V. Ene, T. Hibi, The join-meet ideal of a finite lattice, J. Commut. Algebra 5(2) (2013), 209-230.

V. Ene, A. A. Qureshi, Ideals generated by diagonal 2-minors, Comm. Algebra 41(8) (2013), 3058-3066.

V. Ene, R. Okazaki, On the radical of multigraded modules, J. Algebra 388 (2013), 10-21.

V. Ene, J. Herzog, T. Hibi, F. Mohammadi, Determinantal facet ideals, Michigan Math. J. 62 (2013), 39 – 57.

A. Aslam, V. Ene, Simplicial complexes with rigid depth, Arch. Math. 99 (4) (2012), 315-325.

V. Ene, A. Olteanu, Powers of lexsegment ideals with linear resolutions, Illinois J. Math. 56(2) (2012), 533-549.

V. Ene, J. Herzog, F. Mohammadi, Monomial ideals and toric rings of Hibi type arising from a finite poset, European J. Combin. 32 (2011), no. 3, 404–421.

V. Ene, J. Herzog, T. Hibi, Cohen-Macaulay binomial edge ideals, Nagoya Math. J. 204, (2011), 57-68.

V. Ene, O. Olteanu, N. Terai, Arithmetical rank of lexsegment edge ideals, Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 53 (101) (2010), no. 4, 315–327.

V. Ene. A Olteanu, L. Sorrenti, Properties of lexsegment ideals, Osaka J. Math. 47 (2010), 67 -87.

V. Ene, D. Popescu, On the structure of Maximal Cohen-Macaulay modules over the ring k[[x,y]]/(xn), Algebr. Represent. Theory, 11 (2) (2008), 191-205.

C. Baciu,V. Ene, G. Pfister, D. Popescu, Rank two maximal Cohen-Macaulay modules over singularities of type x13+x23+x33+x43, J. Algebra, 292(2) (2005), 447-491.

V. Ene, G. Pfister, D. Popescu, Betti numbers for p-stable ideals, Comm. Algebra, 28(3) (2000), 1515-1531.

V. Ene, D. Popescu, Steps in the classification of the Cohen-Macaulay modules over singularities of type xt + y3, Algebr. Represent. Theory, 2 (1999), no.2, 137- 175.

V. Ene, Infinitesimal deformations of modules over k[[x]]/(xt), Comm. Algebra, 26(3) (1998), 825-838.

Papers in proceedings

V. Ene, J. Herzog, On the symbolic powers of binomial edge ideals, in Combinatorial Structures in Algebra and Geometry (D. Stamate, T. Szemberg, Eds), Springer Proceedings in Mathematics & Statistics 331, Springer 2020, 43-50

V. Ene, J. Herzog, T. Hibi, Koszul binomial edge ideals, Bridging Algebra, Geometry, and Topology, Springer Proceedings in Mathematics & Statistics, 96, D. Ibadula, W. Veys (Eds.) Springer, 2014, 127-138.

V. Bonanzinga, V. Ene, A. Olteanu, L. Sorrenti, An overview on the minimal free resolutions of lexsegment ideals, Contemporary Mathematics, vol. 502, American Mathematical Society, Providence, RI, 2009, 5-24 (V. Ene, E. Miller, Eds).

V. Ene, D. Popescu, Lifting an Ideal from a Tight Sequence and Maximal Cohen-Macaulay Modules, Computational Commutative and Non-Commutative Algebraic Geometry (Eds. S. Cojocaru, G. Pfister, V. Ufnarovski), NATO Sci. Ser. III Comput. Syst. Sci. 196, IOS, Amsterdam, 2005, 90-103.

V. Ene, D. Popescu, Rank one Maximal Cohen-Macaulay modules over singularities of type Y13+Y23+Y33+Y43, Commutative Algebra, Singularities and Computer Algebra, Edited by J. Herzog and V. Vuletescu, NATO Sci. Ser. II, Math. Phys. Chem. 115, 2003, Kluwer Acad. Publ., Dordecht, 141-157.