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- W1519361092 abstract "Let B be a ring and A a subring of B with the common identity element 1. If the residue A-module B/A is inversible as an A-A- bimodule, i.e. B/A ⊗ A Hom A (B/A, A) ≈ Hom A (B/A, A) ⊗ A B/A ≈ A, then B is called a quadratic extension of A . In the case where B and A are division rings, this definition coincides with in P. M. Cohn [2]. We can see easily that if B is a Galois extension of A with the Galois group G of order 2, in the sense of [3], and if is a quadratic extension of A . A generalized crossed product Δ(f, A, Φ, G) of a ring A and a group G of order 2, in [4], is also a quadratic extension of A." @default.
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- W1519361092 date "1973-03-01" @default.
- W1519361092 modified "2023-10-16" @default.
- W1519361092 title "On the Quadratic Extensions and the Extended Witt Ring of a Commutative Ring" @default.
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- W1519361092 doi "https://doi.org/10.1017/s0027763000015348" @default.
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