On Extensions of Regular Rings of Finite Index by Central Elements

1997 ◽  
pp. 73-86 ◽  
Author(s):  
W. D. Burgess ◽  
R. M. Raphael
Keyword(s):  
Finite Index ◽  
Central Elements ◽  
Regular Rings

Representations of regular rings o f finite index-II

1993 ◽  
Vol 21 (11) ◽  
pp. 4173-4177 ◽  
Author(s):  
Andrew B. Carson
Keyword(s):  
Finite Index ◽  
Regular Rings

Homogeneous direct summands of regular rings of finite index

1982 ◽  
Vol 10 (13) ◽  
pp. 1361-1368 ◽  
Author(s):  
Andrew B. Carson
Keyword(s):  
Finite Index ◽  
Regular Rings

scholarly journals Representation of regular rings of finite index

1976 ◽  
Vol 39 (2) ◽  
pp. 512-526 ◽  
Author(s):  
Andrew B Carson
Keyword(s):  
Finite Index ◽  
Regular Rings

Automorphisms of finite order of nilpotent groups II

2014 ◽  
Vol 51 (4) ◽  
pp. 547-555 ◽  
Author(s):  
B. Wehrfritz
Keyword(s):  
Nilpotent Group ◽  
Finite Order ◽  
Finite Index ◽  
Nilpotent Groups ◽  
Finitely Generated

Let G be a nilpotent group with finite abelian ranks (e.g. let G be a finitely generated nilpotent group) and suppose φ is an automorphism of G of finite order m. If γ and ψ denote the associated maps of G given by \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\gamma :g \mapsto g^{ - 1} \cdot g\phi and \psi :g \mapsto g \cdot g\phi \cdot g\phi ^2 \cdots \cdot \cdot g\phi ^{m - 1} for g \in G,$$ \end{document} then Gγ · kerγ and Gψ · ker ψ are both very large in that they contain subgroups of finite index in G.

Solidaritas Sebagai Norma Dasar Dalam Etika Paulus

1970 ◽  
Vol 11 (1) ◽  
pp. 79-100
Author(s):  
Martin Harun
Keyword(s):  
Community Building ◽  
Lord's Supper ◽  
Body Of Christ ◽  
The Poor ◽  
Central Elements ◽  
The New Testament ◽  
Unity In Diversity ◽  
The One ◽  
The Church ◽  
Different Parts

Abstract: Solidarity, a modern word and concept, has old roots in the concept of koinonia (fellowship) as it is understood in the New Testament. David G. Horrell even maintains that what we now call solidarity, functions as a meta norm in Paul’s ethics, since phenomena of solidarity are clearly present in the central elements of Paul’s community building. Reference is made to the two basic rituals, Baptism and the Lord’s Supper, which build unity in diversity; to the most frequently used form of address, adelphoi/brothers, which asks for familial treatment of one another; also to the special way in which Paul often tries to restore unity in the middle of conflicts; and especially to his metaphor of the Church as the one body of Christ with many different parts that need and support one another. When speaking about the collections as a sign of the Greek community’s solidarity with the poor community in Jerusalem, Paul refers to Christ’s solidarity as the source of solidarity within and among communities. Keywords: Solidarity, fellowship, David Horrell, Paul, Ethics, baptism, the Lord’s Supper, brothers, Body of Christ, Christ’s solidarity. Abstrak: Solidaritas, sebuah kata dan paham modern, memiliki akar yang lama, antara lain dalam paham koinonia (persekutuan), sebagaimana digunakan dalam Alkitab Perjanjian Baru. David G. Horrell mempertahankan bahwa apa yang sekarang kita sebut solidaritas, merupakan norma dasar (meta norm) dalam etika Paulus, sebab fenomen-fenomen solidaritas tampak dalam unsur-unsur sentral pembinaan jemaatnya, antara lain dalam kedua ritual paling dasar, baptisan dan perjamuan Tuhan, yang membina kesatuan dalam perbedaan. Solidaritas juga muncul dalam sebutan paling frekuen, saudara-saudara (adelphoi), yang menuntut suatu etos kekeluargaan. Solidaritas juga tampak dalam banyak seruan Paulus untuk memulihkan kesatuan apabila ia berhadapan dengan perpecahan, dan teristimewa dalam menggambarkan jemaat sebagai satu tubuh Kristus dengan banyak anggota yang berbeda dan saling membutuhkan serta memberi. Dalam konteks kolekte-kolekte sebagai tanda solidaritas antarjemaat, Paulus secara eksplisit menunjuk kepada solidaritas Kristus dengan kita sebagai dasar terdalam dari solidaritas antarumat. Kata-kata kunci: Solidaritas, persekutuan, David Horrell, Paulus, etika, baptisan, Perjamuan Tuhan, saudara-saudara, Tubuh Kristus, solidaritas Kristus.

Molecular pathways of Interferon–Stimulated Gene 15: Implications in cancer

2020 ◽  
Vol 21 ◽  
Author(s):  
Angeles C. Tecalco–Cruz
Keyword(s):  
Posttranslational Modification ◽  
Human Interferon ◽  
Molecular Pathways ◽  
Biological Processes ◽  
Small Protein ◽  
Target Proteins ◽  
Central Elements ◽  
Cancer Types ◽  
Interferon Stimulated Gene 15

Abstract:: Human interferon–stimulated gene 15 (ISG15) is a 15–kDa ubiquitin–like protein that can be detected as either free ISG15 or covalently associated with its target proteins through a process termed ISGylation. Interestingly, extracellular free ISG15 has been proposed as a cytokine–like protein, whereas ISGylation is a posttranslational modification. ISG15 is a small protein with implications in some biological processes and pathologies that include cancer. This review highlights the findings of both free ISG15 and protein ISGylation involved in several molecular pathways, emerging as central elements in some cancer types.

Dialogue as Generative Form of Positioning

2018 ◽  
Author(s):  
Hubert J. M Hermans
Keyword(s):  
Learning Process ◽  
Main Part ◽  
Mikhail Bakhtin ◽  
Theoretical Perspective ◽  
The Self ◽  
David Bohm ◽  
Self Talk ◽  
Central Elements

For the development of a democratic self, dialogical relationships between different people and between different positions in the self are paramount. After a review of studies on self-talk, the main part of this chapter is devoted to a comparison of the works of two classic thinkers on dialogue, Mikhail Bakhtin and David Bohm. A third theoretical perspective is depicted in which central elements of the two theorists are combined. This perspective centers around the concept of “generative dialogue” that, as a learning process, has the potential of innovation in the form of new and common meanings without total unification of the different positions. Elaborating on central features of generative dialogue, a distinction is made between consonant and dissonant dialogue, the latter of which is inevitable in a time of globalization and localization in which people are increasingly interdependent and, at the same time, faced with their apparent differences.

RATIONALLY ℵα-COMPLETE COMMUTATIVE RINGS OF QUOTIENTS

2009 ◽  
Vol 08 (05) ◽  
pp. 601-615
Author(s):  
JOHN D. LAGRANGE
Keyword(s):  
Commutative Rings ◽  
Von Neumann ◽  
Von Neumann Regular Rings ◽  
Von Neumann Regular ◽  
Ring Of Quotients ◽  
Rings Of Quotients ◽  
Special Case ◽  
Regular Rings

If {Ri}i ∈ I is a family of rings, then it is well-known that Q(Ri) = Q(Q(Ri)) and Q(∏i∈I Ri) = ∏i∈I Q(Ri), where Q(R) denotes the maximal ring of quotients of R. This paper contains an investigation of how these results generalize to the rings of quotients Qα(R) defined by ideals generated by dense subsets of cardinality less than ℵα. The special case of von Neumann regular rings is studied. Furthermore, a generalization of a theorem regarding orthogonal completions is established. Illustrative example are presented.

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