Algebra 207 (1) (1998) 276-284 (MR 99g:13008).Sharp, R. Y. (1998). Linear growth of primary decompositions of integral closures of ideals. J. Algebra 207:276-284.R. Y. Sharp, Linear growth of primary decomposition of integral closures, J. Algebra 207 (1998), 276-284....
Let L be a finite-dimensional Lie algebra over the field F and let K ⊂ L be a nilpotent subalgebra of L. By restricting the adjoint representation of L to K we get a representation of K: adL:K→glL. By Theorem 3.1.10 L has a unique collected primary decomposition relative to K....
Primary decomposition of the ideal of polynomials whose fixed divisor is divisible by a prime power We characterize the fixed divisor of a polynomial f(X) in Z[X] by looking at the contraction of the powers of the maximal ideals of the overring Int(Z) con... Peruginelli,Giulio - 《Jour...
Additionally, primary ideals can be decomposed into a product of maximal ideals, which is known as the primary decomposition theorem. How are maximal ideals and primary ideals used in mathematics? Maximal ideals and primary ideals are important concepts in abstract algebra, specifically in ring ...
A second purpose of this paper is to prove that has linear growth primary decompositions for Ratliff-Rush closures with respect to , that is, there exists a positive integer such that for every positive integer , there exists a minimal primary decomposition in with , for ...
A second purpose of this paper isto prove that $I$ has linear growth primary decompositions for Ratliff-Rushclosures with respect to $E$, that is, there exists a positive integer $k$ suchthat for every positive integer $n$, there exists a minimal primarydecomposition $\\widetilde {I^n_E...