Journal ArticleDOI
The universal semigroup of relations
TLDR
In this paper, a Galois connection between the set of relations on the social relations themselves and the lattice of congruences on the universal semigroup is applied to the evolution of kinship systems.About:
This article is published in Social Networks.The article was published on 1979-01-01. It has received 10 citations till now. The article focuses on the topics: Bicyclic semigroup & Semigroup.read more
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Graph and Semigroup Homomorphisms on Networks of Relations
TL;DR: The algebraic definitions presented here are motivated by the search for an adequate formalization of the concepts of social roles as regularities in social network patterns and represent significant homomorphic reductions of social networks which are possible using these defimtions to capture the role structure of a network.
Journal ArticleDOI
Stochastic a posteriori blockmodels: Construction and assessment
TL;DR: In this paper, the authors discuss some old suggestions for producing posterior blockmodels, and comment on other new suggestions based on multiple comparisons of model parameters, log-linear models for ordinal categorical data, and correspondence analysis.
Journal ArticleDOI
Cumulated social roles: The duality of persons and their algebras☆
TL;DR: In this paper, the authors present a framework for elaborating and extending these two lines of research, focusing on each actor in turn as ego, and articulating what they believe to be the fundamental duality of persons and their algebras.
Journal Article
An international comparative study of interpersonal behavior and role relationships
Linton C. Freeman,Danching Ruan +1 more
TL;DR: In this paper, the AA examine certaines consequences des idees de S. Nadel (1957) concernant les relations of role and les comportements specifiques.
References
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Book
Categories for the Working Mathematician
TL;DR: In this article, the authors present a table of abstractions for categories, including Axioms for Categories, Functors, Natural Transformations, and Adjoints for Preorders.
Journal ArticleDOI
Social Structure from Multiple Networks. I. Blockmodels of Roles and Positions
TL;DR: In this paper, Boorman and White proposed a dual model that partitions a population while simultaneously identifying patterns of relations and role and position concepts in the concrete social structure of small populations.
Journal ArticleDOI
Structural equivalence of individuals in social networks
TL;DR: In this article, the authors derive global patterns of global relations from a detailed social network, within which classes of equivalently positioned individuals are delineated by a "functorial" mapping of the original pattern.