Book Review
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MathSciNet review:
1567024
Full text of review:
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Book Information:
Author:
Bernard R. McDonald
Title:
Geometric algebra over local rings
Additional book information:
Dekker, New York and Basel, 1976, xii + 421 pp., $29.50.
E. Artin, Geometric algebra, Interscience Publishers, Inc., New York-London, 1957. MR 0082463
Reinhold Baer, Linear algebra and projective geometry, Academic Press, Inc., New York, N.Y., 1952. MR 0052795
Jean Dieudonné, Sur les groupes classiques, Publications de l’Institut de Mathématique de l’Université de Strasbourg, VI, Hermann, Paris, 1973 (French). Troisième édition revue et corrigée. MR 0344355
Nirmala B. Limaye, Projectivities over local rings, Math. Z. 121 (1971), 175–180. MR 285525, DOI 10.1007/BF01113485
B. V. Limaye and N. B. Limaye, Fundamental theorem for the projective line over non-commutative local rings, Arch. Math. (Basel) 28 (1977), no. 1, 102–109. MR 480495, DOI 10.1007/BF01223897
M. Ojanguren and R. Sridharan, A note on the fundamental theorem of projective geometry, Comment. Math. Helv. 44 (1969), 310–315. MR 242806, DOI 10.1007/BF02564531
[S] A. Seidenberg, Lectures in projective geometry, Van Nostrand, New York, 1962.
- [A] E. Artin, Geometric algebra, Wiley-Interscience, New York, 1957. MR 0082463
- [B] R. Baer, Linear algebra and projective geometry, Academic Press, New York, 1952. MR 52795
- [D] J. Dieudonné, Sur les groupes classiques, Actualités Sci. Indust., no. 1040, Hermann, Paris, 1948. MR 344355
- [L] N. Limaye, Projectivities over local rings, Math. Z. 121 (1971), 175-180. MR 285525
- [LL] B. Limaye and N. Limaye, Fundamental theorem for the projective line over noncommutative local rings, Arch. Math. 28 (1977), 102-109. MR 480495
- [OS] M. Ojanguren and R. Sridharan, A note on the fundamental theorem of projective geometry, Comment. Math. Helv. 44 (1969), 310-315. MR 242806
- [S] A. Seidenberg, Lectures in projective geometry, Van Nostrand, New York, 1962.
Review Information:
Reviewer:
Jack Ohm
Journal:
Bull. Amer. Math. Soc.
84 (1978), 75-78
DOI:
https://doi.org/10.1090/S0002-9904-1978-14412-7
