A characterization of riesz n-morphisms and applications

Önal, Süleyman
Let X-1 I X-2,..., X-n be realcompact spaces and Z he a topological space. Let pi : C(X-1)X C(X-2) X... X C(X-n)-> C(Z) be a Riesz n-morphism. We show that there exist functions sigma(i) : Z -> X-i (i = 1, 2,..., n) and w epsilon C(Z) such that


A short note on permutation trinomials of prescribed type
Akbal, Yildirim; GÜLMEZ TEMÜR, BURCU; Ongan, Pinar (Informa UK Limited, 2019-11-21)
We show that there are no permutation trinomials of the form hox 1/4 x5 ox5oq1 xq1 1 over Fq2 where q is not a power of 2. Together with a result of Zha, Z., Hu, L., Fan, S., hox permutes Fq2 if q 1/4 2k where k 2 omod 4, this gives a complete classification of those q's such that hox permutes F-q(2).
Memorandum on multiplicative bijections and order
Cabello Sanchez, Felix; Cabello Sanchez, Javier; ERCAN, ZAFER; Önal, Süleyman (Springer Science and Business Media LLC, 2009-08-01)
Let C(X, I) denote the semigroup of continuous functions from the topological space X to I = [0, 1], equipped with the pointwise multiplication. The paper studies semigroup homomorphisms C(Y, I) -> C(X, I), with emphasis on isomorphisms. The crucial observation is that, in this setting, homomorphisms preserve order, so isomorphisms preserve order in both directions and they are automatically lattice isomorphisms. Applications to uniformly continuous and Lipschitz functions on metric spaces are given. Sample...
Some sufficient conditions for p-nilpotency of a finite group
Kızmaz, Muhammet Yasir (Informa UK Limited, 2019-09-02)
Let G be a finite group and let p be prime dividing . In this article, we supply some sufficient conditions for G to be p-nilpotent (see Theorem 1.2) as an extension of the main theorem of Li et al. (J. Group Theor. 20(1): 185-192, 2017).
A note on towers of function fields over finite fields
Özbudak, Ferruh (Informa UK Limited, 1998-01-01)
For a tower F-1 subset of or equal to F-2 subset of or equal to ... of algebraic function fields F-i/F-q, define lambda := lim(i-->infinity) N(F-i)/g(F-i), where N(F-i) is the number of rational pieces and g(F-i) is the genus of F-i/F-q. The purpose of this note is to calculate lambda for a class of towers which was studied in [1], [2] and [3].
On algebraic K-theory of real algebraic varieties with circle action
Ozan, Yıldıray (Elsevier BV, 2002-05-24)
Assume that X is a compact connected orientable nonsingular real algebraic variety with an algebraic free S-1-action so that the quotient Y=X/S-1 is also a real algebraic variety. If pi:X --> Y is the quotient map then the induced map between reduced algebraic K-groups, tensored with Q, pi* : (K) over bar (0)(R(Y, C)) circle times Q --> (K) over bar (0)(R(X, C)) circle times Q is onto, where R(X, C) = R(X) circle times C, R(X) denoting the ring of entire rational (regular) functions on the real algebraic va...
Citation Formats
Z. M. AKKAR ERCAN and S. Önal, “A characterization of riesz n-morphisms and applications,” COMMUNICATIONS IN ALGEBRA, pp. 1115–1120, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/43374.