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

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Page 271

Basic elements Semigroups

posets P and Q is, by definition, a pairing of the elements of P with the elements

of Q (a so-called bijection /? : P+-* Q, the symbol *-» denoting bijection) such that

...

Basic elements Semigroups

**Isomorphic**groups ... An**isomorphism**between twoposets P and Q is, by definition, a pairing of the elements of P with the elements

of Q (a so-called bijection /? : P+-* Q, the symbol *-» denoting bijection) such that

...

Page 297

It is particularly offensive, from the categorical point of view, to define an

onto H; for an

...

It is particularly offensive, from the categorical point of view, to define an

**isomorphism**of groups <p: G — * H to be a homomorphism that is one-one andonto H; for an

**isomorphism**of groups should be just an invertible morphism of the...

Page 298

One way of proving that T is then an

are

One way of proving that T is then an

**isomorphism**is to show that V and V** are**isomorphic**and then to observe that T is one-one. The usual proof that V and V**are

**isomorphic**would be to proceed by establishing an**isomorphism**between ...### What people are saying - Write a review

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#### The New Encyclopaedia Britannica (Encyclopaedia)

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