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Original Articles

Informational optima in a formal hierarchy: Calculations using the semigroupFootnote

Pages 129-147 | Published online: 26 Aug 2010

References

  • Boorman , S. A. and White , H. C. 1976 . “Social Structure from Multiple Networks. II. Role Structures.” . American Journal of Sociology , 81 : 1384 – 1446 .
  • Clifford , A. H. and Preston , G. B. 1961 . The Algebraic Theory of Semigroups , Vol. 1 , Providence, R.I. : American Mathematical Society .
  • Friedell , M. F. 1967 . “Organizations as Semilattices.” . American Sociological Review , 32 : 46 – 54 .
  • Lorrain , F. 1975 . Réseaux sociaux et structures sociales , Paris : Hermann .
  • Merton , R. K. 1968 . Social Theory and Social Structure. , 3rd ed. , New York : The Free Press .
  • Nadel , S. F. 1957 . The Theory of Social Structure , London : Cohen and West .
  • Ouchi , W. C. and Dowling , J. B. 1974 . “Defining the Span of Control,” . Administrative Science Quarterly , 19 : 357 – 365 .
  • Porter , L. W. and Lawler , E. E. III . 1965 . “Properties of Organization Structure in Relation to Job Attitudes and Job Behavior,” . Psychological Bulletin , 64 : 23 – 51 .
  • Riordan , J. 1958 . An Introduction to Combinatorial Analysis , New York : Wiley .
  • Simon , H. A. 1957 . “The Compensation of Executives,” . Sociometry , 20 : 32 – 35 .
  • Todd , F. P. 1970 . “Officers, Military,” . In Encyclopaedia Brittannica , 1970 edition
  • Weil , A. 1949 . “Sur l'étude algebrique de certains types de loi de mariage (système Murngin) ” . In Les structures élémentaires de la parenté , Edited by: Lévi‐Strauss , C. Paris : Presses Universitaires de France . Chapter 14.
  • White , H. C. 1963 . An Anatomy of Kinship , Englewood Cliffs, N.J. : Prentice Hall .
  • White , H. C. 1969 . Notes on finding models of structural equivalence: Drawing on theories of roles, duality, sociometry and balance , Harvard University, Department of Sociology . Unpublished,
  • White , H. C. , Boorman , S. A. and Breiger , R. L. 1976 . “Social Structure from Multiple Networks. I. Blockmodels of Roles and Positions,” . American Journal of Sociology , 81 : 730 – 780 .
  • Williamson , O. E. 1970 . Corporate Control and Business Behavior , Englewood Cliffs, N.J. : Prentice Hall .
  • Worthy , J. C. 1950 . “Organizational Structure and Employee Morale,” . American Sociological Review , 15 : 169 – 179 .
  • The author is indebted to Paul Levitt and Harrison White for extensive critical comments. Support for the present research was obtained through NSF Grant GS‐2689. A more extensive development of the present model is contained in a conference paper presented at the MSSB Advanced Research Symposium on Social Networks held in Hanover, N.H., September 18–21, 1975. This paper is available as Discussion Paper No. 78, Fels Center of Government, University of Pennsylvania.

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