标题： 外延器 显示英文标题

标题： Extensors

摘要： 本文介绍了一类称为\emph{延拓器}的数学对象，并对其理论的某些方面进行了相当详细的阐述。我们为外延的若干特殊但重要的情形赋予了专门的名称。引入了\emph{扩展，} \emph{伴随} 和\emph{概括性}运算符，并研究了它们的性质。对于所谓的$(1,1)$-外延，我们定义了\emph{行列式}的概念，并探讨了其特性。为了展示新概念的作用力，展示了外延理论的一些初步应用。还得到了一个用于$(1,1)$-外延求逆的有用公式。 显示英文摘要

摘要： In this paper we introduce a class of mathematical objects called \emph{extensors} and develop some aspects of their theory with considerable detail. We give special names to several particular but important cases of extensors. The \emph{extension,} \emph{adjoint} and \emph{generalization} operators are introduced and their properties studied. For the so-called $(1,1)$-extensors we define the concept of \emph{determinant}, and their properties are investigated. Some preliminary applications of the theory of extensors are presented in order to show the power of the new concept in action. An useful formula for the inversion of $(1,1)$-extensors is obtained.