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Zawartość
Pełne teksty:
Warianty tytułu
Abstrakty
CONTENTS
Introduction............................................................................................................ 5
1. The category of $C^N$-systems........................................................................... 8
2. The problem of split monomorphisms................................................................ 10
3. Internal hom and tensor product........................................................................... 13
4. Characterizations of split monomorphisms....................................................... 19
5. Reduction to algebraic systems............................................................................ 24
6. Reduction to finite-dimensional indecomposable sources............................ 27
7. The broken chain condition for $C^2$-systems................................................. 32
8. An example for computation of Nli((X, Y), (V, W))................................................ 36
References.................................................................................................................... 41
Introduction............................................................................................................ 5
1. The category of $C^N$-systems........................................................................... 8
2. The problem of split monomorphisms................................................................ 10
3. Internal hom and tensor product........................................................................... 13
4. Characterizations of split monomorphisms....................................................... 19
5. Reduction to algebraic systems............................................................................ 24
6. Reduction to finite-dimensional indecomposable sources............................ 27
7. The broken chain condition for $C^2$-systems................................................. 32
8. An example for computation of Nli((X, Y), (V, W))................................................ 36
References.................................................................................................................... 41
Słowa kluczowe
Tematy
Miejsce publikacji
Warszawa
Copyright
Seria
Rozprawy Matematyczne
tom/nr w serii:
161
Liczba stron
41
Liczba rozdzia³ów
Opis fizyczny
Dissertationes Mathematicae, Tom CLXI
Daty
wydano
1979
Twórcy
autor
- Queen's University Kingston, Ontario
autor
- University of Waterloo, Waterloo, Ontario
Bibliografia
- [1] N. Aronszajn, Quadratic forms on vector spaces, Proc. Intern. Symposium on Linear Spaces 1960, p. 29-87, Jerusalem 1961.
- [2] N. Aronszajn and U. Fixman, Algebraic spectral problems, Studia Math. 30 (1968), p. 273-338.
- [3] H. Cartan and S. Eilenberg, Homological algebra, Princeton University Press, Princeton 1956.
- [4] J. Ernest, A classification, decomposition and spectral multiplicity theory for bounded operators on a separable Hilbert space. Preprint, Univ. of California Santa Barbara.
- [5] U. Fixman On algebraic equivalence between pairs of linear transformations, Trans. Amer. Math. Soc. 113 (1964), p. 424-453.
- [6] U. Fixman and N. Sankaran, The fundamental functors for pairs of linear transformations (in preparation).
- [7] U. Fixman and F. A. Zorzitto, A purity criterion of pairs of linear transformations, Canad. J. Math. 26 (1974), p. 734-745.
- [8] A. Grothendieck, Produits tensoriéls topologiques et espaces nucléaires, Mem. Amer. Math. Soc. 16 (1955).
- [9] N. Jacobson, Lectures in abstract algebra, Vol. 1, D. Van Nostrand, New York 1951.
- [10] F. A. Zorzitto, Topological decompositions in systems of linear transformations. Doctoral Thesis (1972), Queen's University, Eingston.
- [11] F. A. Zorzitto, Purity and copurity in systems of linear transformations, Canad. J. Math. 28 (1976), p. 889-896.
Języki publikacji
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Uwagi
Identyfikator YADDA
bwmeta1.element.zamlynska-bec231ba-173f-4243-af86-ce9267dad0d2
Identyfikatory
ISBN
83-01-010
ISSN
0012-3862
Kolekcja
DML-PL
Zawartość książki
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