| 单词 | skew field |
| 释义 | > as lemmasskew field 2. Mathematics (see quots.); skew field, a ring whose non-zero elements form a group with respect to multiplication; a set which satisfies the axioms for a field except that multiplication is not commutative. ΘΚΠ the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > in abstract algebra > ring ideal1898 principal ideal1901 ring1915 subring1917 skew field1965 1848 A. Cayley Coll. Math. Papers I. 378 Passing to the general case where the lines and points in question are not identical, which I should propose to term the theory of ‘Skew Polars’. 1867 W. T. Brande & G. W. Cox Dict. Sci., Lit. & Art (new ed.) III. 467/1 Skew Surface, a ruled surface of which two successive generators do not in general intersect. 1873 A. Cayley Coll. Math. Papers IX. 65–6 Before going further it will be convenient to establish the definition of ‘skew anti-points’. 1873 J. C. Maxwell Treat. Electr. & Magn. (1881) I. 384 When they are not satisfied it is called a Skew system. 1965 E. M. Patterson & D. E. Rutherford Elem. Abstr. Algebra iii. 75 In certain cases we encounter systems which satisfy all the required properties for a field with one exception, the commutative law of multiplication. Such systems are known as..skew fields. 1969 F. M. Hall Introd. Abstr. Algebra II. iv. 114 The only skew field of any importance is the set of quaternions. < as lemmas |
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