Esin, Songül Minimal generators of annihilators of even neat elements in the exterior algebra footnotesize. (English) Zbl 1497.15030 Turk. J. Math. 46, No. 3, 800-809 (2022). Summary: This paper deals with an exterior algebra of a vector space whose base field is of positive characteristic. In this work, a minimal set of generators forming the annihilator of even neat elements of such an exterior algebra is exhibited. The annihilator of some special type of even neat elements is determined to prove the conjecture established in [C. Koç and S. Esin, Taiwanese J. Math. 11, No. 4, 1019–1035 (2007; Zbl 1145.15018)]. Moreover, a vector space basis for the annihilators under consideration is calculated. MSC: 15A75 Exterior algebra, Grassmann algebras Keywords:exterior algebra; Frobenius algebra; symmetric algebra; minimal generators; annihilator Citations:Zbl 1145.15018 PDFBibTeX XMLCite \textit{S. Esin}, Turk. J. Math. 46, No. 3, 800--809 (2022; Zbl 1497.15030) Full Text: DOI References: [1] Güloğlu İ, Koç C. Stack-sortable permutations and polynomials. Turkish Journal of Mathematics 2009; 33: 1-8. · Zbl 1179.05012 [2] Koç C, Güloğlu İ, Esin S. Generalized Catalan numbers, sequences and polynomials. Turkish Journal of Mathematics 2010; 34: 441-450. doi: 10.3906/mat-0811-25 · Zbl 1231.05006 [3] Koç C, Esin S. Annihilators of principal ideals in the Exterior algebra. Taiwanese Journal of Mathematics 2007; 11 (4): 1019-1035. · Zbl 1145.15018 [4] Stanley, RP. Enumerative combinatorics Volume 2. Cambridge Studies in Advanced Mathematics 62, Cambridge University Press, 1999. · Zbl 0928.05001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.