| 吴利生.关于环模的n-类比[J].数学研究及应用,1983,3(4):24~26 |
| 关于环模的n-类比 |
| On the n-versions of R-module |
| 投稿时间：1983-03-27 |
| DOI：10.3770/j.issn:1000-341X.1983.04.006 |
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| In this paper, we define a kind of the n-versions of R-module, it is an Abelian n-group under the action of an m-ring, where m-1|n-1 or n-1|m-1, and is called a left R(m)-n-module. The category of left R(m)-n-modules is denoted by Rm -Mm1;Theorem 1 An Abelian n-group M is a left R(n)-n-module with R =Z(n), where Z(n) = {1+s(n-1) :s∈Z}.Theorem 2 Rm - Mn1 is an n-preadditive category. |
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