A Survey of Groups in Which Normality or Permutability is a Transitive Relation

Algebra ◽  
1999 ◽  
pp. 171-181 ◽  
Author(s):  
Derek J. S. Robinson
Keyword(s):  
Transitive Relation

Corrigendum: Some characterizations of finite groups in which semipermutability is a transitive relation [Forum Math. 22 (2010), 855–862]

2012 ◽  
Vol 24 (6) ◽  
Author(s):  
Kahled A. Al-Sharo ◽  
James C. Beidleman ◽  
Hermann Heineken ◽  
Matthew F. Ragland
Keyword(s):  
Finite Groups ◽  
Transitive Relation

On finite solvable groups in which normality is a transitive relation

2000 ◽  
Vol 3 (2) ◽  
Author(s):  
MARIAGRAZIA BIANCHI ◽  
ANNA GILLIO BERTA MAURI ◽  
MARCEL HERZOG ◽  
LIBERO VERARDI
Keyword(s):  
Solvable Groups ◽  
Transitive Relation

scholarly journals ON GENERALISED FC-GROUPS IN WHICH NORMALITY IS A TRANSITIVE RELATION

2015 ◽  
Vol 100 (2) ◽  
pp. 192-198
Author(s):  
R. ESTEBAN-ROMERO ◽  
G. VINCENZI
Keyword(s):  
Conjugacy Classes ◽  
Maximal Subgroups ◽  
Transitive Relation ◽  
Supersolvable Groups

We extend to soluble $\text{FC}^{\ast }$-groups, the class of generalised FC-groups introduced in de Giovanni et al. [‘Groups with restricted conjugacy classes’, Serdica Math. J. 28(3) (2002), 241–254], the characterisation of finite soluble T-groups obtained recently in Kaplan [‘On T-groups, supersolvable groups, and maximal subgroups’, Arch. Math. (Basel) 96(1) (2011), 19–25].

scholarly journals Nearly directed subspaces of partially ordered linear spaces

1968 ◽  
Vol 16 (2) ◽  
pp. 135-144
Author(s):  
G. J. O. Jameson
Keyword(s):  
Linear Space ◽  
Transitive Relation ◽  
Linear Spaces ◽  
Real Linear Space ◽  
Partially Ordered ◽  
Real Linear ◽  
Image Position ◽  
Ordered Linear Spaces

Let X be a partially ordered linear space, i.e. a real linear space with a reflexive, transitive relation ≦ such that

Finite groups in which normality is a transitive relation

2001 ◽  
Vol 76 (5) ◽  
pp. 321-325 ◽  
Author(s):  
M. Asaad ◽  
A.A. Heliel
Keyword(s):  
Finite Groups ◽  
Transitive Relation

scholarly journals Bipolar Fuzzy Relations

Mathematics ◽  
2019 ◽  
Vol 7 (11) ◽  
pp. 1044 ◽  
Author(s):  
Jeong-Gon Lee ◽  
Kul Hur
Keyword(s):  
Equivalence Class ◽  
Level Set ◽  
Equivalence Relation ◽  
Level Sets ◽  
Equivalence Classes ◽  
Fuzzy Relation ◽  
Fuzzy Relations ◽  
Transitive Relation ◽  
Fuzzy Partition

We introduce the concepts of a bipolar fuzzy reflexive, symmetric, and transitive relation. We study bipolar fuzzy analogues of many results concerning relationships between ordinary reflexive, symmetric, and transitive relations. Next, we define the concepts of a bipolar fuzzy equivalence class and a bipolar fuzzy partition, and we prove that the set of all bipolar fuzzy equivalence classes is a bipolar fuzzy partition and that the bipolar fuzzy equivalence relation is induced by a bipolar fuzzy partition. Finally, we define an ( a , b ) -level set of a bipolar fuzzy relation and investigate some relationships between bipolar fuzzy relations and their ( a , b ) -level sets.

scholarly journals On Completing Sparse Knowledge Base with Transitive Relation Embedding

2019 ◽  
Vol 33 ◽  
pp. 3125-3132
Author(s):  
Zili Zhou ◽  
Shaowu Liu ◽  
Guandong Xu ◽  
Wu Zhang
Keyword(s):  
Computational Complexity ◽  
Knowledge Base ◽  
Transitive Relation ◽  
Popular Approach ◽  
New Model ◽  
Sparsity Problem ◽  
Public Datasets

Multi-relation embedding is a popular approach to knowledge base completion that learns embedding representations of entities and relations to compute the plausibility of missing triplet. The effectiveness of embedding approach depends on the sparsity of KB and falls for infrequent entities that only appeared a few times. This paper addresses this issue by proposing a new model exploiting the entity-independent transitive relation patterns, namely Transitive Relation Embedding (TRE). The TRE model alleviates the sparsity problem for predicting on infrequent entities while enjoys the generalisation power of embedding. Experiments on three public datasets against seven baselines showed the merits of TRE in terms of knowledge base completion accuracy as well as computational complexity.

VT reduction with ablation: A transitive relation to mortality rate?

Heart Rhythm ◽  
2015 ◽  
Vol 12 (9) ◽  
pp. 2008-2009
Author(s):  
Marc W. Deyell ◽  
Joshua M. Cooper
Keyword(s):  
Mortality Rate ◽  
Transitive Relation
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