منابع مشابه
Principal Ideals of Finitely Generated Commutative Monoids
We study the semigroups isomorphic to principal ideals of finitely generated commutative monoids. We define the concept of finite presentation for this kind of semigroups. Furthermore, we show how to obtain information on these semigroups from their presentations.
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Let Φ denote Foata’s second fundamental transformation on permutations. For a permutation σ in the symmetric group Sn, let Λ̃σ = {π ∈ Sn : π 6w σ} be the principal order ideal generated by σ in the weak order 6w. Björner and Wachs have shown that Λ̃σ is invariant under Φ if and only if σ is a 132-avoiding permutation. In this paper, we consider the invariance property of Φ on the principal order ...
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A handful of recent cryptographic proposals rely on the conjectured hardness of the following problem in the ring of integers of a cyclotomic number field: given a basis of a principal ideal that is guaranteed to have a “rather short” generator, find such a generator. Recently, Bernstein and Campbell-Groves-Shepherd sketched potential attacks against this problem; most notably, the latter autho...
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We prove necessary conditions for a commutative Banach algebra to be the semidirect product of some subalgebra together with a speci ed principal ideal. x
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In [1], Afkhami and Khashyarmanesh introduced the cozero-divisor graph of a ring, Γ′(R), which examines relationships between principal ideals. We continue investigating the algebraic implications of the graph by developing the reduced cozero-divisor graph, which is a simpler analog. Acknowledgements: This research was undertaken at the Wabash College Mathematics REU in Crawfordsville, Indiana....
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1959
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1959.100380