Results 221 to 230 of about 4,564 (264)

Ideals of factors

Rendiconti del Circolo Matematico di Palermo, 2006
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Saitó, Kazuyuki, Wright, J. D. Maitland
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Missing Factors of Ideals and Synchronizing Automata

J. Autom. Lang. Comb., 2019
Recently, a series of papers have started to look at \v{C}ern\'y's conjecture, and in general at synchronizing automata, from the point of view of the theory of ideals of free monoids. The starting point of such an approach is a simple observation: the set of reset words of an automaton is a two-sided ideal of the free monoid on its alphabet that is ...
Frigeri A., Rodaro E.
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Factoring Nonnil Ideals into Prime and Invertible Ideals

Bulletin of the London Mathematical Society, 2005
Throughout all rings are commutative with non-zero identity. For a ring \(R\), let \(\text{ Nil}(R)\) be its set of nilpotent elements, \(Z(R)\) its set of zero divisors and \(T(R)\) the total quotient ring of \(R\). Let \(\mathcal{H}\) be the class of all rings \(R\) such that \(\text{ Nil}(R)\) is a divided prime ideal of \(R\). For \(R\in \mathcal{H}
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Generalized prime ideal factorization of submodules

2021
Summary: In this article, we introduce generalized prime ideal factorization for all proper submodules of a finitely generated module over a Noetherian ring. We show that the generalized prime ideal factorization of a product of two coprime ideals is the product of the generalized prime ideal factorization of the ideals.
Thulasi, K. R., Duraivel, T., Mangayarcarassy, S.   +2 more
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U-factorization of ideals

Communications in Algebra, 2018
AbstractWe study the factorization of ideals of a commutative ring, in the context of the U-factorization framework introduced by Fletcher.
Jason Robert Juett, Christopher Park Mooney   +1 more
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Factorization into Prime and Invertible Ideals

Journal of the London Mathematical Society, 2000
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Factoring Ideals in Integral Domains

2013
A classical generalization of the Fundamental Theorem of Arithmetic states that an integral domain is a principal ideal domain if and only if each of its proper ideals can be factored as a finite product of principal prime ideals. If the “principal” restriction is removed, one has a characterization of (nontrivial) Dedekind domains. The purpose of this
FONTANA, Marco, Houston, Evan, Lucas, Thomas   +2 more
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Ideal Separation Factor

2015
The separation factor, SF, is a measure of the efficiency of the separation process and is determined from the ratio of the concentrations of the more permeable gas species i and the less permeable gas species j in the permeate divided by the ratio of the same gases i and j in the feed stream: SF = (xi,p/xj,p)/(xi,f/xj,f) (1) where x i,p and x j,p are ...
Jansen, Johannes Carolus
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Ideally factored algebras

2008
Summary: A complex algebra \(\mathcal A\) is called ideally factored if \(\mathcal I_a=\mathbb C a\) is a left ideal of \(\mathcal A\) for all \(a \in \mathcal A\). We investigate some interesting properties of ideally factored algebras and show that these algebras are always Arens regular but never amenable.
Amyari, M., Mirzavaziri, M.
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On the Complexity of the Montes Ideal Factorization Algorithm

2010
Let p be a rational prime and let Φ(X) be a monic irreducible polynomial in Z[X], with nΦ = degΦ and δΦ = v p (discΦ). In [13] Montes describes an algorithm for the decomposition of the ideal \(p\mathcal{O}K\) in the algebraic number field K generated by a root of Φ.
David Ford 0001, Olga Veres
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