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

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Page 297

precision to the concept of domain of mathematical discourse, the formalization of

the precise notion corresponding to the intuitive idea of the interrelation or

connection ...

**FUNCTORS**The notion of category being established as that which givesprecision to the concept of domain of mathematical discourse, the formalization of

the precise notion corresponding to the intuitive idea of the interrelation or

connection ...

Page 298

There are two

over the field K and linear transformations. One

other

There are two

**functors**from 35 to 35, in which 35 is the category of vector spacesover the field K and linear transformations. One

**functor**is the identity**functor**. Theother

**functor**is the double dual**functor****: 35 —* 35 that associates with every ...Page 301

Then the

module, is an additive

) is then a 7r-free resolution of Z, the additive group of integers, so that a relation

holds ...

Then the

**functor**F, given by the tensor product (see 375) in which A is a ^-module, is an additive

**functor**to the category of Abelian groups. The complex C(n) is then a 7r-free resolution of Z, the additive group of integers, so that a relation

holds ...

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