On a generalization of principal weak (po-)flatness of S-posets

Author(s):  
Hamideh Rashidi ◽  
Akbar Golchin ◽  
Hossein Mohammadzadeh Saany

In [H. Rashidi, A. Golchin and H. Mohammadzadeh saany, On [Formula: see text]-flat acts, Categ. Gen. Algebr. Struct. Appl. 12(1) (2020) 175–197], the study of [Formula: see text]-flatness property of right acts [Formula: see text] over a monoid [Formula: see text] that can be described by means of when the functor [Formula: see text]-preserves some pullbacks is initiated. In this paper, we extend these results to [Formula: see text]-posets and present equivalent description of [Formula: see text]-po-flatness of [Formula: see text]-posets. We show that [Formula: see text]-flatness does not imply torsion freeness in [Formula: see text]-posets and give some general properties and a characterization of pomonoids for which some other properties of their posets imply this condition.

1973 ◽  
Vol 36 (4) ◽  
pp. 214-219 ◽  
Author(s):  
Paul Baumann ◽  
Linda Baumann

Eighty-six strains which were isolated from cases of gastroenteritis and had the general properties of the genus Beneckea were submitted to an extensive nutritional, physiological, and morphological characterization. The results indicated that this collection of strains, which included the type strain of Beneckea parahaemolytica, was phenotypically homogeneous and distinguishable from the other known species of Beneckea by multiple, unrelated, phenotypic traits. When grown in liquid medium, strains of B. parahaemolytica had single, sheathed, polar flagella; when grown on solid medium, these strains had unsheathed, peritrichous flagella in addition to the sheathed, polar flagellum. Additional traits of use for differentiation of this species from the remaining species of the genus Beneckea were the ability of B. parahaemolytica to grow at 40 C, utilize d-galactose, l-leucine, l-histidine, and putrescine and the inability to utilize sucrose, dl-β-hydroxy-butyrate or give a positive Voges-Proskauer reaction. The validity of some of the traits previously used to identify B. parahaemolytica as well as the possible difficulties encountered in the identification of this organism from marine sources are considered.


2007 ◽  
Vol 2007 ◽  
pp. 1-10
Author(s):  
N. Subramanian ◽  
R. Nallaswamy ◽  
N. Saivaraju

LetΓdenote the space of all entire sequences and∧the space of all analytic sequences. This paper is a study of the characterization and general properties of entire sequences via double Orlicz space ofΓM2ofΓ2establishing some inclusion relations.


2016 ◽  
Vol 14 (1) ◽  
pp. 767-782
Author(s):  
Xingliang Liang ◽  
Xinyang Feng ◽  
Yanfeng Luo

Abstract In this paper, we introduce GP-po-flatness property of S-posets over a pomonoid S, which lies strictly between principal weak po-flatness and po-torsion freeness. Furthermore, we investigate the homological classification problems of pomonoids by using this new property. Finally, we consider direct products of GP-po-flat S-posets. As an application, characterizations of pomonoids over which direct products of nonempty families of principally weakly po-flat S-posets are principally weakly po-flat are obtained, and some results of Khosravi, R. in a certain extent are generalized.


10.37236/130 ◽  
2009 ◽  
Vol 16 (1) ◽  
Author(s):  
Jessica Striker

We define the alternating sign matrix polytope as the convex hull of $n\times n$ alternating sign matrices and prove its equivalent description in terms of inequalities. This is analogous to the well known result of Birkhoff and von Neumann that the convex hull of the permutation matrices equals the set of all nonnegative doubly stochastic matrices. We count the facets and vertices of the alternating sign matrix polytope and describe its projection to the permutohedron as well as give a complete characterization of its face lattice in terms of modified square ice configurations. Furthermore we prove that the dimension of any face can be easily determined from this characterization.


2013 ◽  
Vol 347-350 ◽  
pp. 2841-2845
Author(s):  
Wan She Li ◽  
Hong Xia Zhao

In this paper, Let be a real expansive matrix, it mainly discusses the existences of frame wavelet set, we discuss the characterization of frame wavelet sets in, and several examples are presented, in order to deepen the understanding of frame wavelet set, which gives the two related theorems; we try to use an equivalent condition to describe frame scale sets, and give an equivalent description about a normalized frame scale set.


Coatings ◽  
2021 ◽  
Vol 11 (8) ◽  
pp. 982
Author(s):  
Wenyan Gu ◽  
Rong Zhan ◽  
Rui Li ◽  
Jiaxin Liu ◽  
Jiaqiao Zhang

In the field of microwave-absorbing materials, functional powder has always been the focus of research. In order to fabricate lightweight and flexible garment materials with microwave-absorbing function, the current work was carried out. Firstly, the general properties of polyurethane (PU) matrix composites reinforced with various microwave-absorbing powders were studied, and the carbon nanotubes (CNTs)/Fe3O4/PU film was proven to have the best general properties. Secondly, the needle-punched polyester (PET) nonwoven fabrics in 1 mm-thickness were impregnated into PU resin with the same composition of raw material as Fe3O4/CNTs/PU film, thereby the microwave-absorbing nonwovens with gradient structure were prepared. Moreover, the absorbing properties of the CNTs/Fe3O4/PU/PET gradient composites were tested and analyzed. Finally, the relationship between the mass ratio of CNTs and Fe3O4, and the microwave-absorbing properties was studied. The results show that the mass ratio of CNTs/Fe3O4 has a significant effect on the microwave-absorbing property of CNTs/Fe3O4/PU/PET. When the mass ratio of CNTs/Fe3O4 is 1:1, the prepared CNTs/Fe3O4/PU/PET gradient composite can achieve effective reflection loss in the range of more than 2 GHz in Ku-band (12–18 GHz), and the minimum reflection loss reaches −17.19 dB.


1999 ◽  
Vol 116-119 ◽  
pp. 81-85 ◽  
Author(s):  
E Harry ◽  
A Rouzaud ◽  
P Juliet ◽  
Y Pauleau
Keyword(s):  

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