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1.

図書

図書
J. Adámek, J. Rosický, E.M. Vitale ; with a foreword by F.W. Lawvere
出版情報: New York : Cambridge University Press, 2011  xvii, 249 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 184
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目次情報: 続きを見る
Foreword / F. W. Lawvere
Preface
Abstract Algebraic Categories / Part I:
Preliminaries / 0:
Algebraic theories and algebraic categories / 1:
Sifted and filtered colimits / 2:
Reflexive coequalizers / 3:
Algebraic categories as free completions / 4:
Properties of algebras / 5:
A characterization of algebraic categories / 6:
From filtered to sifted / 7:
Canonical theories / 8:
Algebraic functors / 9:
Birkhoff's variety theorem / 10:
Concrete Algebraic Categories / Part II:
One-sorted algebraic categories / 11:
Algebras for an endofunctor / 12:
Equational categories of ?-algebras / 13:
S-sorted algebraic categories / 14:
Special Topics / Part III:
Morita equivalence / 15:
Free exact categories / 16:
Exact completion and reflexive-coequalizer completion / 17:
Finitary localizations of algebraic categories / 18:
Postscript
Monads / Appendix A:
Abelian categories / Appendix B:
More about dualities for one-sorted algebraic categories / Appendix C:
References
List of symbols
Index
Foreword / F. W. Lawvere
Preface
Abstract Algebraic Categories / Part I:
2.

図書

図書
Jiří Adámek, Jiří Rosicky
出版情報: Cambridge : Cambridge University Press, 1994  xiv, 316 p. ; 23 cm
シリーズ名: London Mathematical Society lecture note series ; 189
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Preliminaries
Locally presentable categories / 1:
Accessible categories / 2:
Algebraic categories / 3:
Injectivity classes / 4:
Categories of models / 5:
Vopenka's principle / 6:
Large cardinals / Appendix:
Open problems
Preliminaries
Locally presentable categories / 1:
Accessible categories / 2:
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