Iurato, Giuseppe A note on Hilbert’s weak nullstellensatz. (English) Zbl 1359.13007 Int. J. Adv. Appl. Math. Mech. 2, No. 4, 18-24 (2015). Summary: In this article, through a suitable generalization of the well-known notion of spectrum of an element of an arbitrary normed algebra of operator theory, it will be possible to give another simple proof of the Hilbert’s Weak Nullstellensatz. MSC: 13B25 Polynomials over commutative rings 47C05 Linear operators in algebras Keywords:spectrum; ideal; operator algebra × Cite Format Result Cite Review PDF Full Text: Link