[[1] L. Amata, M. Crupi, ExteriorIdeals: A package for computing monomial ideals in an exterior algebra, Journal of Software for Algebra and Geometry 8(1) (2018), 71–79.10.2140/jsag.2018.8.71]Search in Google Scholar
[[2] L. Amata, M. Crupi, Bounds for the Betti numbers of graded modules with given Hilbert function in an exterior algebra via lexicographic modules, Bull. Math. Soc. Sci. Math. Roumanie, Tome 61(109) No. 3, 237–253, 2018.]Search in Google Scholar
[[3] L. Amata, M. Crupi, Hilbert functions of graded modules over exterior algebras: an algorithmic approach, Int. Electron. J. Algebra, Vol. 27, 271–287, 2020.10.24330/ieja.663094]Search in Google Scholar
[[4] A. Aramova, J. Herzog, T. Hibi, Gotzman Theorems for Exterior algebra and combinatorics, J. Algebra 191 (1997), 174–211.10.1006/jabr.1996.6903]Search in Google Scholar
[[5] A. Aramova, J. Herzog, Almost regular sequence and Betti numbers, Amer.J. Math 122 (2000), 689–719.10.1353/ajm.2000.0025]Search in Google Scholar
[[6] W. Bruns, J. Herzog, Cohen-Macaulay rings, Cambridge Studies in Advanced Mathematics, Vol. 39, 1998.10.1017/CBO9780511608681]Search in Google Scholar
[[7] D. Eisenbud, Commutative Algebra with a view toward Algebraic Geometry, Vol. 150, Graduate texts in Mathematics, Springer–Verlag, 1995.10.1007/978-1-4612-5350-1]Search in Google Scholar
[[8] M. Crupi, C. Ferrò, Bounding Betti numbers of monomial ideals in the exterior algebra, Pure and Appl. Math. Q., 11(2) (2015) 267–281.10.4310/PAMQ.2015.v11.n2.a4]Search in Google Scholar
[[9] M. Crupi, C. Ferrò, Squarefree monomial modules and extremal Betti numbers, Algebra Coll. 23 (3) (2016), 519–530.10.1142/S100538671600050X]Search in Google Scholar
[[10] W. Decker, G. M. Greuel, G. Pfister, H. Schönemann: Singular 4-1-0 — A computer algebra system for polynomial computations, available at http://www.singular.uni-kl.de (2016).]Search in Google Scholar
[[11] V. Gasharov, Extremal properties of Hilbert functions, Illinois J.Math. 41(4) (1997), 612–629.10.1215/ijm/1256068984]Search in Google Scholar
[[12] D.R. Grayson, M.E. Stillman, Macaulay2, a software system for research in algebraic geometry, available at http://www.math.uiuc.edu/Macaulay2.]Search in Google Scholar
[[13] M. Crupi, G. Restuccia, Monomial modules and graded Betti numbers, Math. Notes 85 (2009), 690–702.10.1134/S0001434609050095]Search in Google Scholar
[[14] J. Herzog, T. Hibi, Monomial ideals, Graduate texts in Mathematics, Vol. 260, Springer–Verlag, 2011.10.1007/978-0-85729-106-6]Search in Google Scholar
[[15] A.H. Hoefel, Hilbert functions in monomial algebras, Doctoral Thesis, Dalhousie University, 2011.]Search in Google Scholar
[[16] H. Hulett: Maximum Betti numbers for a given Hilbert function, Comm. Algebra 21 (1993), 2335–2350.10.1080/00927879308824680]Search in Google Scholar
[[17] H. Hulett, A generalization of Macaulay’s Theorem, Comm. Algebra 23 (1995), 1249–1263.10.1080/00927879508825278]Search in Google Scholar
[[18] G. Katona, A theorem for finite sets in “Theory of graphs”, P. Erdös and G. Katona, eds., Academic Press, New York (1968), 187–207.]Search in Google Scholar
[[19] J. Kruskal, The number of simplices in a complex, in “Mathematical optimization techniques” (R. Bellman, ed.), University of California Press, Berkeley (1963), 251–278.10.1525/9780520319875-014]Search in Google Scholar
[[20] F.S. Macaulay, Some properties of enumeration in the theory of modular systems, Proc. Lond. Math. Soc. 26 (1927), 531–555.10.1112/plms/s2-26.1.531]Search in Google Scholar
[[21] R.P. Stanley, Cohen-Macaulay rings and constructible polytopes, Bull. Amer. Math. Soc., 8 (1975), 133–135.10.1090/S0002-9904-1975-13670-6]Search in Google Scholar