论文标题
在桁架上的模块类别之间的函子上
On functors between categories of modules over trusses
论文作者
论文摘要
研究了模块理论在桁架上的分类方面。定义了模块上的模块的张量产品，并建立了其存在。特别是，表明桁架上的双模型形成一个单体类别。 Eilenberg-watts定理的桁架版本和莫里塔对等。定义了桁架上的投影和天线模块，并研究了它们的性质。
Categorical aspects of the theory of modules over trusses are studied. Tensor product of modules over trusses is defined and its existence established. In particular, it is shown that bimodules over trusses form a monoidal category. Truss versions of the Eilenberg-Watts theorem and Morita equivalence are formulated. Projective and small-projective modules over trusses are defined and their properties studied.
