Minimal Pairs and Quasi-minimal Degrees for the Joint Spectra of Structures
نویسنده
چکیده
Two properties of the Co-Spectrum of the Joint Spectrum of finitely many abstract structures are presented a Minimal Pair type theorem and the existence of a Quasi-Minimal degree with respect to the Joint Spectrum of the structures.
منابع مشابه
Groups with Two Extreme Character Degrees and their Minimal Faithful Representations
for a finite group G, we denote by p(G) the minimal degree of faithful permutation representations of G, and denote by c(G), the minimal degree of faithful representation of G by quasi-permutation matrices over the complex field C. In this paper we will assume that, G is a p-group of exponent p and class 2, where p is prime and cd(G) = {1, |G : Z(G)|^1/2}. Then we will s...
متن کاملDeveloping a Minimal Pairs’ Package for Persian-speaking Children: A Preliminary Study
Objectives: Different treatment approaches have been introduced for children with Speech Sound Disorders (SSD). Minimal pair intervention, Metaphon therapy, and parents and children together approach as linguistically-based approaches are routinely utilized in this population and both of them shared minimal pairs as a common component. The purpose of the current study was to develop and investi...
متن کاملOn minimal degrees of faithful quasi-permutation representations of nilpotent groups
By a quasi-permutation matrix, we mean a square non-singular matrix over the complex field with non-negative integral trace....
متن کاملRelativized Degree Spectra
We present a relativized version of the notion of a degree spectrum of a structure with respect to finitely many abstract structures. We study the connection to the notion of joint spectrum. We prove that some properties of the degree spectrum as a minimal pair theorem and the existence of quasi-minimal degrees are true for the relative spectrum.
متن کاملProperties of the Joint Spectra of Sequence of Structures
Two properties of the Co-spectrum of the Joint spectrum of infinitely many abstract structures are presented — a Minimal Pair type theorem and the existence of a Quasi-Minimal degree with respect to the Joint spectrum of the structures.
متن کامل