Advanced Topics In Algebraic Geometry Bilal Hasanat

For a long time, ?nite semi?elds have been studied from a geometric point of view, since they coordinatize certain types of Projective planes. But recent results relating semi?elds and coding theory (and also the study of generalized Galois rings) have stimulated the study of these rings from a strictly algebraic point of view. In this work we follow the second path, the term semi?eld is used to describe an algebraic system which satis?es all properties of a ?eld except for commutativity and associativity of multiplication. Semi?elds are of special interest today because the projective planes constructed from them have rather remarkable properties. Это и многое другое вы найдете в книге Advanced Topics In Algebraic Geometry (Bilal Hasanat)