## The New Encyclopædia BritannicaEncyclopædia Britannica, 1983 - Encyclopedias and dictionaries |

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Page 509

In general , a ments of which will be

In general , a ments of which will be

**called**vectors , is**called**a vector set of vectors in U is linearly dependent if , and only if , space , or a linear space , over a field F if addition of one of the vectors is in the subspace of U ...Page 542

The study of general commutative rings was inaugurated by the German mathematician Emmy Noether around 1925 , with a special emphasis on the rings that are now

The study of general commutative rings was inaugurated by the German mathematician Emmy Noether around 1925 , with a special emphasis on the rings that are now

**called**Noetherian . In the second half of the 20th century , with his theory ...Page 545

Thus the set of equivalence classes , denoted by M / M ' , is endowed with a structure of left R - module and is

Thus the set of equivalence classes , denoted by M / M ' , is endowed with a structure of left R - module and is

**called**the factor module of M by M ' . In particular , if I and I ' are left ideals of R such that I'C I , then I / l ' is ...### What people are saying - Write a review

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