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One dimensional Witt’s theorem over modular lattices. (English) Zbl 0191.33901


Keywords:

number theory
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[1] H. Bass, Topics in algebraic K-theory, Mathematical Lecture Notes, Tata Institute of Fundamental Research, Bombay, 1967. · Zbl 0226.13006
[2] John S. Hsia, Integral equivalence of vectors over depleted modular lattices on dyadic local fields, Amer. J. Math. 90 (1968), 285 – 294. · Zbl 0172.04003 · doi:10.2307/2373437
[3] John S. Hsia, Integral equivalence of vectors over local modular lattices, Pacific J. Math. 23 (1967), 527 – 542. · Zbl 0167.32303
[4] J. S. Hsia, A note on the integral equivalence of vectors in characteristic 2., Math. Ann. 179 (1968), 63 – 69. · Zbl 0172.04002 · doi:10.1007/BF01350210
[5] O. T. O’Meara, Introduction to quadratic forms, Grundlehren der Mathematischen Wissenschaften, Springer-Verlag, Berlin, 1963. · Zbl 0107.03301
[6] Amit Roy, Cancellation of quadratic form over commutative rings, J. Algebra 10 (1968), 286 – 298. · Zbl 0181.04302 · doi:10.1016/0021-8693(68)90080-X
[7] Chih-han Sah, Quadratic forms over fields of characteristic 2, Amer. J. Math. 82 (1960), 812 – 830. · Zbl 0100.25308 · doi:10.2307/2372942
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