Beklenen kurtarıcı fikri inanç sistemlerinin çoğunda mevcuttur. İslamiyet içerisinde de özellikle Şii anlayışta hâkim olan bu beklenti birçok yeni dini akımın doğmasına sebep olmuştur. Bunlardan biri Babîliktir. Mirza Ali Muhammed’in Şiilerin gelişini bekledikleri kurtarıcıya açılan kapı (Bab) olduğu iddiasıyla Mayıs 1844’te ortaya çıkması Babîliğin başlangıcıdır. Kısa sürede etrafına çok sayıd...

For given positive integers a1,a2,⋯,ak with gcd(a1,a2,⋯,ak)=1, the denumerant d(n)=d(n;a1,a2,⋯,ak) is number of nonnegative solutions (x1,x2,⋯,xk) linear equation a1x1+a2x2+⋯+akxk=n for a integer n. p, let Sp=Sp(a1,a2,⋯,ak) be set all n’s such that d(n)>p. In this paper, by introducing p-numerical semigroup, where N0\Sp finite, we give explicit formulas p-Frobenius number, which maximum N0\S...

T. Hadjersi, N. Gabouze , N. Yamamoto, K. Sakamaki, H. Takai, A. Ababou, and E.S. Kooij 1 Unité de Développement de la Technologie du Silicium (UDTS), 2, Bd. Frantz Fanon, B.P. 399 Alger-Gare, Alger, Algeria 2 Communications Research Laboratory, Basic and Advanced Research, Division, 4-2-1, Nukui-kitamachi, Koganei,Tokyo, 184-8795, Japan 3 Tokyo Denki University, Department of Electrical Engine...

Let S be the left bialgebroid End BAB over the centralizer R of a right D2 algebra extension A | B, which is to say that its tensor-square is isomorphic as A-B-bimodules to a direct summand of a finite direct sum of A with itself. Without an antipode, we prove that the left endomorphism algebra is a left S-Galois extension of A, and find a formula for the inverse Galois mapping. As a corollary,...

1. Abstract characterization of Dn The group Dn has two generators r and s with orders n and 2 such that srs−1 = r−1. We will show any group with a pair of generators like r and s (except for their order) admits a homomorphism onto it from Dn, and is isomorphic to Dn if it has the same size as Dn. Theorem 1.1. Let G be generated by elements a and b where an = 1 for some n ≥ 3, b2 = 1, and bab−1...

Consider the braid group B3 = 〈a, b | aba = bab 〉 and the nearest neighbor random walk defined by a probability ν with support {a, a, b, b−1}. The rate of escape of the walk is explicitly expressed in function of the unique solution of a set of eight polynomial equations of degree three over eight indeterminates. We also explicitly describe the harmonic measure of the induced random walk on B3 ...