This is a preview of subscription content, log in via an institution.
Preview
Unable to display preview. Download preview PDF.
References
J.A.Goguen, J.W.Thatcher, E.G.Wagner, J.B.Wright, An Introduction to Categories, Algebraic Theories and Algebras, Res.Rep. RC-5369, IBM Yorktown Heights 1975
J.A.Goguen, J.W.Thatcher, E.G.Wagner, J.B.Wright, Some Fundamentals of Order Algebraic semantics, Proc. MFCS'76, LNCS 45, 1976
J.A.Goguen, J.W.Thatcher, E.G.Wagner, J.B.Wright, A Uniform Approach to Inductive Posets and Inductive Closure, Proc. MFCS'77, LNCS 53, 1977, and TCS 7, 1978
J.Adamek, E.Nelson, J.Reiterman, Tree Constructions of Free Continuous Algebras, JCSS 24, 1982
K.Benecke, H.Reichel, Equational Partiality, Algebra Universalis 16, 1983
R.M.Burstall, B.Lampson, A Kernel Language for Abstract Data Types and Modules, Proc. Symp. on Semantics of Data Types, Sophia Antipolis, LNCS 173, 1984
AMBER, AT&T Bell Labs, Techn. Memo. 112671-840924-10TM, 1984
J.Cartmell, Generalised Algebraic Theories and Contextual categories, Journal of Pure and Apllied Logic, to appear
J.Cartmell, Generalised Algebraic Theories and Contextual categories, PhD Thesis, Oxford 1978
J.Cartmell, Formalizing the Network and Hierarchical Data Models — an Application of Categorical Logic, this volume
H.D.Ehrich, Key Extensions of Abstract Data Types, Final Algebras, and Database Semantics, this volume
M.P.Fourman, S.J.Vickers, Theories as Categories, this volume
P.Freyd, Aspects of Topoi, Bull. Austral. Math. Soc. 7, 1972
P.Gabriel, F.Ulmer, Lokal präsentierbare Kategorien, LNiMath 221, 1971
J.A.Goguen, J.Meseguer, Completeness of Many-Sorted Equational Logic, ACM SIGPLAN Notices 16.7, 1981
M.Gordon, R.Milner, C.Wadsworth, Edinburgh LCF, LNCS 78, 1979
G.Grätzer, Universal Algebra, Princeton 1967
I.Guessarian, Algebraic Semantics, LNCS 99, 1981
H.Herrlich, G.E.Strecker, Category Theory, Allyn and Bacon, 1973
P.T.Johnstone, Topos Theory, Cambridge University Press 1977
G.M.Kelly, Basic Concepts of Enriched Category Theory, Cambridge University Press 1982
J.Lambek, P.Scott, Introduction to Higher Order Categorical Logic, Cambridge University Press 1986
F.W.Lawvere, Functorial Semantics of Algebraic Theories, Proc. Nat. Acad. Sci. USA, 1963
S.MacLane, Categories for the Working Mathematician, Springer Verlag 1971
M.Makkai, G.E.Reyes, First Order Categorical Logic, LNi Math 611, 1977
E.Manes, Algebraic Theories, Springer Verlag 1974
P.Martin-Löf, Constructive Mathematicvs and Computer Programming, Proc. 6th Int. Congress for Logic, Methodology and Philosophy of Sciences, North-Holland 1979
J.Meseguer, On Order-Complete Universal Algebra and Enriched Functorial Semantics, Proc. FCT'77, LNCS 56, 1977
J.Meseguer, Ideal Monads and Z-Posets, Manuscript, Berkeley, 1979
E.Nelson, Recent Results on Continuous Ordered Algebras, Proc. FCT'85, LNCS 199, 1985
The Category Theoretic Solution of Recursive Domain equations, SIAM J. Computing, 1983
H.Reichel, Behavioural Program Specification, this volume
G. Richter, Kategorielle Algebra, Studien zur Algebra und ihren Anwendungen, Akademie Verlag, Berlin 1979
R.A.G.Seely, Locally Cartesian Closed Categories and Type Theory, Math. Proc. Camb. Phil. Soc. 95, 1984
Editor information
Rights and permissions
Copyright information
© 1986 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Poigné, A. (1986). Algebra categorically. In: Pitt, D., Abramsky, S., Poigné, A., Rydeheard, D. (eds) Category Theory and Computer Programming. Lecture Notes in Computer Science, vol 240. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-17162-2_118
Download citation
DOI: https://doi.org/10.1007/3-540-17162-2_118
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-17162-1
Online ISBN: 978-3-540-47213-1
eBook Packages: Springer Book Archive