scholarly journals A characterization of translational hulls of a strongly right type B semigroup

2019 ◽  
Vol 17 (1) ◽  
pp. 1340-1349 ◽  
Author(s):  
Chunhua Li ◽  
Baogen Xu
Keyword(s):  
New York ◽  
Inverse Semigroups ◽  
Type B ◽  
Translational Hulls

Abstract The aim of this paper is to study the translational hull of a strongly right type B semigroup. Our main result is to prove that the translational hull of a strongly right type B semigroup is itself a strongly right type B semigroup. As an application, we give a proof of a problem posted by Petrich on translational hulls of inverse semigroups in Petrich (Inverse Semigroups, Wiley, New York, 1984) to the cases of some strongly right type B semigroups.

A ∗-prehomomorphism of a type B semigroup

2020 ◽  
pp. 2150222
Author(s):  
Chunhua Li ◽  
Zhi Pei ◽  
Baogen Xu
Keyword(s):  
New York ◽  
Inverse Semigroup ◽  
Partial Order ◽  
Inverse Semigroups ◽  
Natural Partial Order ◽  
Type B ◽  
Abundant Semigroup ◽  
Basic Properties ◽  
Structure Theorems

Type B semigroups are generalizations of inverse semigroups, and every inverse semigroup admits an [Formula: see text]-unitary cover (M. Petrich, Inverse Semigroups (Wiley, New York, 1984)). Motivated by studying [Formula: see text]-unitary cover for inverse semigroups, and as a continuation of Petrich’s works in inverse semigroups, in this paper, we first introduce the concept of ∗-prehomomorphism of a type B semigroup. After obtaining some basic properties, we get some structure theorems and give some conditions for a type B semigroup which is constructed by using the ∗-prehomomorphism to be proper. In particular, we introduce the notion of [Formula: see text]-unitary good cover for an abundant semigroup, and prove that every type B semigroup with compatible natural partial order admits an [Formula: see text]-unitary good cover.

scholarly journals A new characterization of a proper type B semigroup

2020 ◽  
Vol 18 (1) ◽  
pp. 1590-1600
Author(s):  
Chunhua Li ◽  
Zhi Pei ◽  
Baogen Xu
Keyword(s):  
Structure Theorem ◽  
Elementary Theory ◽  
Inverse Semigroups ◽  
Type B ◽  
Basic Properties ◽  
Definition Of ◽  
Admissible Triple

Abstract In this paper, we develop the elementary theory of inverse semigroups to the cases of type B semigroups. The main aim of this paper is to study proper type B semigroups. We introduce first the concept of a left admissible triple. After obtaining some basic properties of left admissible triple, we give the definition of a Q-semigroup and get a structure theorem of Q-semigroup. In particular, we introduce the notion of an admissible triple and give some characterization of proper type B semigroups. It is proved that an arbitrary Q-semigroup with an admissible triple is an E-unitary type B semigroup.

scholarly journals Characterization of submicron aerosol particles in winter at Albany, New York

2022 ◽  
Vol 111 ◽  
pp. 118-129
Author(s):  
Xiuli Wei ◽  
Huaqiao Gui ◽  
Jianguo Liu ◽  
Ying Cheng
Keyword(s):  
New York ◽  
Aerosol Particles ◽  
Submicron Aerosol

scholarly journals Residual dimension of nilpotent groups

2020 ◽  
Vol 23 (5) ◽  
pp. 801-829
Author(s):  
Mark Pengitore
Keyword(s):  
New York ◽  
Nilpotent Group ◽  
Nilpotent Groups ◽  
Finitely Generated ◽  
Nontrivial Element ◽  
Maximum Order ◽  
Asymptotic Bounds ◽  
Group Morphism ◽  
A Finite Group

AbstractThe function {\mathrm{F}_{G}(n)} gives the maximum order of a finite group needed to distinguish a nontrivial element of G from the identity with a surjective group morphism as one varies over nontrivial elements of word length at most n. In previous work [M. Pengitore, Effective separability of finitely generated nilpotent groups, New York J. Math. 24 2018, 83–145], the author claimed a characterization for {\mathrm{F}_{N}(n)} when N is a finitely generated nilpotent group. However, a counterexample to the above claim was communicated to the author, and consequently, the statement of the asymptotic characterization of {\mathrm{F}_{N}(n)} is incorrect. In this article, we introduce new tools to provide lower asymptotic bounds for {\mathrm{F}_{N}(n)} when N is a finitely generated nilpotent group. Moreover, we introduce a class of finitely generated nilpotent groups for which the upper bound of the above article can be improved. Finally, we construct a class of finitely generated nilpotent groups N for which the asymptotic behavior of {\mathrm{F}_{N}(n)} can be fully characterized.

Identification and characterization of the Spodoptera littoralis nucleopolyhedrovirus type B lef-3 gene

1998 ◽  
Vol 143 (4) ◽  
pp. 743-767 ◽  
Author(s):  
J.-L. C. Wolff ◽  
L. M. Herzog ◽  
L. Sun ◽  
D. B. Levin
Keyword(s):  
Spodoptera Littoralis ◽  
Type B ◽  
Identification And Characterization

Public networks for SME applications: implications for future SME networks

2004 ◽  
Vol 23 (3) ◽  
pp. 151-159
Author(s):  
Dong-Hee Shin
Keyword(s):  
New York ◽  
Longitudinal Study ◽  
Small Businesses ◽  
New York State ◽  
Network Development ◽  
York State ◽  
Public Network ◽  
Out Of The Loop ◽  
Public Networks

I discuss experiences in the development of four broadband public networking projects in New York State in order to see an implication for future small or medium-sized enterprise over such public networks. The projects were funded under a state program to diffuse broadband/advanced telecommunication technologies in economically depressed areas of the state. Through the broadband networks, I critically argue characterization of next generation public network (NGPN) in reference to small medium-sized enterprises (SMEs). I identify several facets of an NGPN drawing on a longitudinal study of the network development in four New York communities. As broadband public networks diffuse, small businesses being left out of the loop. The idea of SME application and service may itself be at risk. My approach to the socio-technical challenges involved in the design and development of broadband public networks is outlined.

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