## The new encyclopaedia Britannica: in 32 vol. Macropaedia, Accounting - Architecture, Volume 13 |

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Page 263

The set 5) may be

only a

itself, then S) is called a spanning set or generating system of U. If U is spanned

by ...

The set 5) may be

**finite**or infinite, but a linear combination (see 99) must haveonly a

**finite**number of nonzero terms. If the subspace spanned by the set 5) is Uitself, then S) is called a spanning set or generating system of U. If U is spanned

by ...

Page 272

The most general

generalization of Skolem's theorem. Namely, L is assumed to be any

distributive lattice, and A is assumed to be the set of all properly join-irreducible

elements of L; ...

The most general

**finite**distributive lattice may be constructed by a simplegeneralization of Skolem's theorem. Namely, L is assumed to be any

**finite**distributive lattice, and A is assumed to be the set of all properly join-irreducible

elements of L; ...

Page 281

If a group G is generated by r elements, G = ( bt, □ • • , br), and if for a fixed n, x" =

1 for every element of G, is G necessarily

group with r generators and if K= Kn is the subgroup of F generated by x" for ...

If a group G is generated by r elements, G = ( bt, □ • • , br), and if for a fixed n, x" =

1 for every element of G, is G necessarily

**finite**? If Fr = (^a„ • □ □ , ar~) is the freegroup with r generators and if K= Kn is the subgroup of F generated by x" for ...

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