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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
Saunders Mac Lane
出版情報: New York : Springer, c1998  xii, 314 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 5
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3.

図書

図書
J. R. García Rozas
出版情報: Boca Raton : Chapman & Hall/CRC Press, c1999  137 p. ; 24 cm
シリーズ名: Research notes in mathematics ; 407
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4.

図書

図書
A.J. Berrick, M.E. Keating
出版情報: Cambridge : Cambridge University Press, 2000  xvii, 361 p. ; 24 cm
シリーズ名: Cambridge studies in advanced mathematics ; 67
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Categories / 1:
Categories and exact sequences / 2:
Change of rings / 3:
The Morita theory / 4:
Limits in categories / 5:
Localisation / 6:
Local-global methods / 7:
Categories / 1:
Categories and exact sequences / 2:
Change of rings / 3:
5.

図書

図書
by Amnon Neeman
出版情報: Princeton, N.J. : Princeton University Press, 2001  vii, 449 p. ; 24 cm
シリーズ名: Annals of mathematics studies ; no. 148
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6.

図書

図書
[edited by] Tom Leinster
出版情報: Cambridge : Cambridge University Press, 2004  xiii, 433 p. ; 23 cm
シリーズ名: London Mathematical Society lecture note series ; 298
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Background / Part I:
Classical categorical structures / 1:
Classical operads and multicategories / 2:
Notions of monoidal category / 3:
Operads / Part II:
Generalized operads and multicategories: basics / 4:
Example: fc-multicategories / 5:
Generalized operads and multicategories: further theory / 6:
Opetopes / 7:
n-categories / Part III:
Globular operads / 8:
A definition of weak n-category / 9:
Other definitions of weak n-category / 10:
A Symmetric structures / Appendices:
Coherence for monoidal categories / B:
Special Cartesian monads / C:
Free multicategories / D:
Definitions of trees / E:
Free strict n-categories / F:
Initial operad-with-contraction / G:
Background / Part I:
Classical categorical structures / 1:
Classical operads and multicategories / 2:
7.

図書

図書
H.R. Margolis
出版情報: Amsterdam ; New York : North-Holland , New York, NY : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1983  xix, 489 p. ; 23 cm
シリーズ名: North-Holland mathematical library ; v. 29
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8.

図書

図書
Dieter Happel
出版情報: Cambridge : Cambridge University Press, 1988  ix, 208 p. ; 23 cm
シリーズ名: London Mathematical Society lecture note series ; 119
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目次情報: 続きを見る
Preface
Triangulated categories / 1:
Repetitive algebras / 2:
Tilting theory / 3:
Piecewise hereditary algebras / 4:
Trivial extension algebras / 5:
References
Index
Preface
Triangulated categories / 1:
Repetitive algebras / 2:
9.

図書

図書
Gerhard Preuss ; translated by Andreas Behling
出版情報: Dordrecht ; Boston : D. Reidel Pub. Co., c1988  xii, 304 p. ; 25 cm
シリーズ名: Mathematics and its applications
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10.

図書

図書
Michael Barr, Pierre A. Grillet, Donovan H. van Osdol
出版情報: Berlin ; New York : Springer-Verlag, 1971  vii, 239 p. ; 26 cm
シリーズ名: Lecture notes in mathematics ; 236
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