Relations, residuals, regular interiors, and relative regular equivalence

Social Networks

Volumn 21, Issue 2, 1999, Pages 147-165

  Boyd, John P ^a   Everett, Martin G ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF GREENWICH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000975987     PISSN: 03788733     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-8733(99)00006-4     Document Type: Article

References (15)

1. Birkhoff, G., 1973. Lattice Theory, 3rd edn. American Mathematical Society, Providence, RI.
2. Bonocich P. The 'common structure semigroup', an alternative to the Boorman and White 'joint reduction'. American Journal of Sociology. 86:1980;159-166.
3. Boyd, J., 1991. Social Semigroups. Fairfax, George Mason Univ. Press, VA.
4. Cartwright D., Harary F. Structural balance: a generalization of Heider's theory. Psychological Review. 63:1956;277-293.
5. Clifford, A.H., Preston, G.B., 1961. The Algebraic Theory of Semigroups. American Mathematical Society, Providence, RI.
6. Everett M.G., Borgatti S.P. An extension of regular colouring of graphs to digraphs, networks and hypergraphs. Social Networks. 15:1993;237-254.
7. Granovetter M. The strength of weak ties. American Journal of Sociology. 78:1973;1360-1380.
8. Halmos, P., 1960. Naive Set Theory. Van Nostrand, New York.
9. Heider F. Attributes and cognitive organization. Journal of Psychology. 21:1946;107-112.
10. Pattison P.E. The analysis of semigroups of multirelational systems. Journal of Mathematical Psychology. 25:1982;87-117.
11. Pattison, P.E., 1993. Algebraic Models for Social Networks. Cambridge Univ. Press, Cambridge.
12. Sampson, S.E., 1969. Crisis in a Cloister. No. 69-5775 University Microfilms, Ann Arbor, MI.
13. Tarski A. Journal of Symbolic Logic. 6:1941;73-89. incomplete reference from Birkhoff p. 343 and 345.
14. White D.R., Reitz K.P. Graph and semigroup homomorphisms on networks and relations. Social Networks. 5:1983;143-234.
15. White H.C., Boorman S., Breiger R. Social structure from multiple networks: I. Blockmodels of role and positions. American Journal of Sociology. 81:1976;730-780.