منابع مشابه
Dense admissible sequences
A sequence of integers in an interval of length x is called admissible if for each prime there is a residue class modulo the prime which contains no elements of the sequence. The maximum number of elements in an admissible sequence in an interval of length x is denoted by %∗(x). Hensley and Richards showed that %∗(x) > π(x) for large enough x. We increase the known bounds on the set of x satisf...
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We study the equivalence relation on the set of acyclic orientations of an undirected graph Γ generated by source-to-sink conversions. These conversions arise in the contexts of admissible sequences in Coxeter theory, quiver representations, and asynchronous graph dynamical systems. To each equivalence class we associate a poset, characterize combinatorial properties of these posets, and in tur...
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In this note further clue decisive observations on cobweb admissible sequences are shared with the audience. In particular an announced proof of the Theorem 1 (by Dziemia´nczuk) from [1] announced in India-Kolkata-December 2007 is delivered here. Namely here and there we claim that any cobweb admissible sequence F is at the point product of primary cobweb admissible sequences taking values one ...
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Let M 6= z be arbitrary. In [21], the main result was the characterization of essentially Lambert categories. We show that J ≡ −1. In [21], the authors extended partial, hyper-universally continuous scalars. It is essential to consider that M may be negative definite.
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Let (W,6) be a finite Coxeter system, and θ an involution such that θ(1) = 1, where 1 is a basis for the root system 8 associated with W . We show that the set of θ-twisted involutions in W , Iθ = {w ∈ W | θ(w) = w−1} is in one to one correspondence with the set of regular involutions IId. The elements of Iθ are characterized by sequences in 6 which induce an ordering called the Bruhat Lattice....
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1953
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1953-0054707-x