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Name
International Journal of Mathematics and Mathematical Sciences
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Journal
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5004 Publications
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  • When an Extension of Nagata Rings Has Only Finitely Many Intermediate Rings, Each of Those Is a Nagata Ring

    David E. Dobbs; Gabriel Picavet; Martine Picavet-L’Hermitte (2014)
    Let R⊂S be an extension of commutative rings, with X an indeterminate, such that the extension RX⊂SX of Nagata rings has FIP (i.e., SX has only finitely many RX-subalgebras). Then, the number of RX-subalgebras of SX equals the number of R-subalgebras of S. In fact, the function from the set of R-subalgebras of S to the set of RX-subalgebras of SX given by T ↦TX is an order-isomorphism.

    On the special solutions of an equation in a finite field

    Hailong, Li; Wenpeng, Zhang (2003)
    The main purpose of this paper is to prove the following conclusion: let p be a prime large enough and let k be a fixed positive integer with 2k|p−1. Then for any finite field Fp and any element 0≠c∈Fp, there exist three generators x, y, and z∈Fp such that xkyk+ykzk+xkzk=c.

    Generalized equivalence of matrices over Prüfer domains

    DeMeyer, Frank; Kakakhail, Hainya (1991)
    Two m×n matrices A,B over a commutative ring R are equivalent in case there are invertible matrices P, Q over R with B=PAQ. While any m×n matrix over a principle ideal domain can be diagonalized, the same is not true for Dedekind domains. The first author and T. J. Ford introduced a coarser equivalence relation on matrices called homotopy and showed any m×n matrix over a Dedekind domain is homotopic to a direct sum of 1×2 matrices. In this article give, necessary and sufficie...

    Lucas partitions

    Robbins, Neville (1998)
    The Lucas sequence is defined by: L0=2,L1=1,Ln=Ln−1+Ln−2 for n≥2. Let V(n), r(n) denote respectively the number of partitions of n into parts, distinct parts from {Ln}. We develop formulas that facilitate the computation of V(n) and r(n).

    Universal series by trigonometric system in weighted Lμ1 spaces

    S. A. Episkoposian (2006)
    We consider the question of existence of trigonometric series universal in weighted Lμ1[0, 2π] spaces with respect to rearrangements and in usual sense.
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