河南大学学报(自然科学版)
河南大學學報(自然科學版)
하남대학학보(자연과학판)
JOURNAL OF HENAN UNIVERSITY(NATURAL SCIENCE)
2011年
1期
1-3
,共3页
2-模%R-2-模%预见性的%可加2-函子
2-模%R-2-模%預見性的%可加2-函子
2-모%R-2-모%예견성적%가가2-함자
2-modules%R-2-modules%preadditive%additive 2-functors
在范畴化理论的基础上,利用预见性范畴和可加2-函子的性质,证明了2-模和R-2模之间的关系,从而得到其相关理论的对应关系,并拓展进一步研究和应用2-模理论,对研究高维同调代数理论有重要作用.
在範疇化理論的基礎上,利用預見性範疇和可加2-函子的性質,證明瞭2-模和R-2模之間的關繫,從而得到其相關理論的對應關繫,併拓展進一步研究和應用2-模理論,對研究高維同調代數理論有重要作用.
재범주화이론적기출상,이용예견성범주화가가2-함자적성질,증명료2-모화R-2모지간적관계,종이득도기상관이론적대응관계,병탁전진일보연구화응용2-모이론,대연구고유동조대수이론유중요작용.
Based on the theory of categorization, we prove that there is a relation between the 2-modules and R-2-modules, using the properties of preadditive categories and additive 2-functors. Then we obtain the correspondence between the theories related to these 2-modules, which can expand the farther research and applications of the theory of 2-modules, which plays an important role in the study of higher dimensional homological algebra theory.