| Title:
|
Applications of the induced morphism theorem in regular categories (English) |
| Author:
|
Fay, Temple H. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
16 |
| Issue:
|
2 |
| Year:
|
1975 |
| Pages:
|
359-375 |
| . |
| Category:
|
math |
| . |
| MSC:
|
18A20 |
| MSC:
|
18A30 |
| MSC:
|
18A35 |
| MSC:
|
18D05 |
| MSC:
|
18E10 |
| idZBL:
|
Zbl 0305.18002 |
| idMR:
|
MR0424893 |
| . |
| Date available:
|
2008-06-05T20:48:10Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105630 |
| . |
| Reference:
|
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| Reference:
|
[2] M. BARR: Exact categories.Springer - Verlag Lecture Notes in Mathematics, 236 (1971), 1-120. Zbl 0223.18010 |
| Reference:
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[3] A. R. BEDNAREK A. D. WALLACE: A relation-theoretic result with applications in topological algebra.Math. Systems Theory 1 (1963), 217-224. MR 0221463 |
| Reference:
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[4] N. BOURBAKI: Théorie des ensembles.Livre 1 (Hermann, Paris I960). Zbl 1100.03002 |
| Reference:
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[5] W. D. BURGESS X. CAICEDO: Relations and congruences in regular categories.Preprint. MR 0674933 |
| Reference:
|
[6] A. H. CLIFFORD G. B. PRESTON: The algebraic theory of semigroups.Vol. 1, Amer. Math. Soc. Surveys 7 (1961). MR 0132791 |
| Reference:
|
[7] J. M. DAY: Semigroup Acts.Algebraic and Topological, Second Florida Symposium on automata and semigroups, Univ. of Fla. (1971). |
| Reference:
|
[8] T. H. FAY: A natural transformation approach to additivity.Preprint. |
| Reference:
|
[9] T. H. FAY: A note on when a regular category is exact.Preprint. |
| Reference:
|
[10] P. A. GRILLET: Regular categories.Springer - Verlag Lecture Notes in Mathematics 236 (1971), 121-222. Zbl 0251.18001, MR 0289599 |
| Reference:
|
[11] H. HERRLICH: Algebraic categories. An axiomatic approach.Preprint. |
| Reference:
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[12] H. HERRLICH G. E. STRECKER: Category Theory.(Allyn and Bacon, Boston 1973). MR 0349791 |
| Reference:
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[13] A. KLEIN: Relations in categories.Illinois J. Math. 14 (1970), 536-550. Zbl 0217.07001, MR 0268247 |
| Reference:
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[14] J. LAMBEK: Goursat's Theorem and the Zassenhaus Lemma.Can. J. Math. 10 (1957), 45-56. MR 0098138 |
| Reference:
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[15] J. LAMBEK: Goursat's Theorem and homological algebra.Can. Math. Bull. 7 (19S4), 597-607. MR 0174612 |
| Reference:
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[16] S. MacLANE: An algebra of additive relations.Proc. Mat. Acad. Sci. 47 (1961), 1043-1051. Zbl 0123.01102, MR 0126477 |
| Reference:
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[17] M. MARTIN: On the Induced Function Theorem.J. Undergrad. Math. 5 (1973), 5-8. |
| Reference:
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[18] M. MARTIN: The Induced Function Theorem and some equivalent theorems.To appear J. Undergrad. Math. MR 0492418 |
| Reference:
|
[19] J. MEISEN: Relations in Categories.Ph. D. Thesis, McGill Univ. (1972). MR 2622453 |
| Reference:
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[20] E. M. NORRIS: Some Structure Theorems for Topological Machines.Ph. D. Thesis, Univ. of Fla. (1969). |
| Reference:
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[21] E. M. NORRIS: Relationally induced semigroups.To appear Pacific J. Math. Zbl 0295.22004, MR 0327971 |
| Reference:
|
[22] E. M. NORRIS A. R. BEDHAREK: Inducing functions difunctionally.Preprint. |
| Reference:
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[23] J. RIGUET: Relations binaires, fermetures, correspondances de Galois.Bull. Soc. Math. France 76 (1948), 114-155. Zbl 0131.01202, MR 0028814 |
| Reference:
|
[24] J. RIGUET: Quelques propriétées des relations difonctionnelles.C. R. Acad. Sci. Paris 230 (1950), 1999-2000. MR 0035743 |
| . |
