Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
MathSciNet review:
1567351
Full text of review:
PDF
This review is available free of charge.
Book Information:
Authors:
Ales Pultr and
Věra Trnková
Title:
Combinatorial algebraic and topological representations of groups, semigroups and categories
Additional book information:
North-Holland Mathematical Library, Amsterdam, 1980, vi + 372 pp., $48.75.
H. Cook, Upper semi-continuous continuum-valued mappings onto circle-like continua, Fund. Math. 60 (1967), 233–239. MR 220255, DOI 10.4064/fm-60-3-233-239
H. Cook, Continua which admit only the identity mapping onto non-degenerate subcontinua, Fund. Math. 60 (1967), 241–249. MR 220249, DOI 10.4064/fm-60-3-241-249
E. Fried and J. Sichler, Homomorphisms of integral domains of characteristic zero, Trans. Amer. Math. Soc. 225 (1977), 163–182. MR 422382, DOI 10.1090/S0002-9947-1977-0422382-9
R. Frucht, Herstellung von Graphen mit vorgegebener abstrakter Gruppe, Compositio Math. 6 (1939), 239–250 (German). MR 1557026
J. de Groot, Groups represented by homeomorphism groups, Math. Ann. 138 (1959), 80–102. MR 119193, DOI 10.1007/BF01369667
Z. Hedrlin, Extensions of structrures and full embeddings of categories, Actes du Congrès International des Mathématiciens (Nice, 1970) Gauthier-Villars, Paris, 1971, pp. 319–322. MR 0419554
Zdeněk Hedrlín and Joachim Lambek, How comprehensive is the category of semigroups?, J. Algebra 11 (1969), 195–212. MR 237611, DOI 10.1016/0021-8693(69)90054-4
Z. Hedrlín and A. Pultr, On full embeddings of categories of algebras, Illinois J. Math. 10 (1966), 392–406. MR 191858
J. R. Isbell, Subjects, adequacy, completeness and categories of algebras. [Subobjects, adequacy, completeness and categories of algebras], Rozprawy Mat. 36 (1964), 33. MR 163939
A. Pultr and V. Trnková, Strong embeddings into categories of algebras, Illinois J. Math. 16 (1972), 183–195. MR 297672
Gert Sabidussi, Graphs with given infinite group, Monatsh. Math. 64 (1960), 64–67. MR 115935, DOI 10.1007/BF01319053
- 1.
- H. Cook, Upper semicontinuous continuum valued mappings onto circle-like continua, Fund. Math. 60 (1967), 233-239. MR 0220255
- 2.
- H. Cook, Continua which admit only the identity mapping onto non-dégenerate subcontinua, Fund. Math. 60 (1967), 241-249. MR 220249
- 3.
- E. Fried and J Sichler, Homomorphisms of integral domains of characteristic zero, Trans. Amer. Math. Soc. 225 (1977), 163-182. MR 422382
- 4.
- R. Frucht, Herstellung von Graphen mit vorgegebener abstrakter Gruppe, Compositio Math. 6 (1938), 239-250. MR 1557026
- 5.
- J. de Groot, Groups represented by homeomorphism groups, Math. Ann. 138 (1959), 80-102. MR 119193
- 6.
- Z. Hedrlin, Extension of structures and full embeddings of categories, Actes du Congrès Internat, des Math. (Nice, 1970), tome 1, Gauthier-Villars, Paris, 1971, pp. 319-322. MR 419554
- 7.
- Z. Hedrlin and J. Lambek, How comprehensive is the category of semigroups?, J. Algebra 11 (1969), 195-212. MR 237611
- 8.
- Z. Hedrlin and A. Pultr, On full embeddings of categories of algebras, Illinois J. Math. 10 (1966), 392-406. MR 191858
- 9.
- J. Isbell, Subobjects, adequacy, completeness and categories of algebras, Rozprawy Mat. 36 (1964) 1-32. MR 163939
- 10.
- A. Pultr and V. Trnková, Strong embeddings into categories of algebras, Illinois J. Math. 16 (1972), 183-195. MR 297672
- 11.
- G. Sabidussi, Graphs with given infinite groups, Monatsh. Math. 64 (1960), 64-67. MR 115935
Review Information:
Reviewer:
John Isbell
Journal:
Bull. Amer. Math. Soc.
6 (1982), 118-120
DOI:
https://doi.org/10.1090/S0273-0979-1982-14986-2