. "\u6570\u5B66\u306B\u304A\u3044\u3066\u3001\u4E0E\u3048\u3089\u308C\u305F\u7FA4 G \u4E0A\u306E\u52A0\u7FA4\uFF08\u304B\u3050\u3093\u3001\u82F1: module over G\uFF09\u307E\u305F\u306F G-\u52A0\u7FA4 (G-module) \u3068\u306F\u3001\u30A2\u30FC\u30D9\u30EB\u7FA4 M \u3067\u3042\u3063\u3066 M \u306E\u7FA4\u69CB\u9020\u3068\u4E21\u7ACB\u3059\u308B G \u306E\u4F5C\u7528\u3092\u6301\u3064\u3082\u306E\u3092\u3044\u3046\u3002\u3053\u308C\u306F G \u306E\u8868\u73FE\u306B\u5E83\u304F\u4E00\u822C\u306B\u7528\u3044\u308B\u3053\u3068\u306E\u3067\u304D\u308B\u6982\u5FF5\u3067\u3042\u308B\u3002\u7FA4\u30B3\u30DB\u30E2\u30ED\u30B8\u30FC\u306F G-\u52A0\u7FA4\u306E\u4E00\u822C\u8AD6\u306E\u7814\u7A76\u306B\u304A\u3044\u3066\u91CD\u8981\u306A\u9053\u5177\u3092\u3044\u304F\u3064\u3082\u63D0\u4F9B\u3059\u308B\u3002 G-\u52A0\u7FA4\u3068\u3044\u3046\u7528\u8A9E\u306F\u3082\u3063\u3068\u3044\u3063\u3071\u3093\u306B\u3001G \u304C\u7DDA\u578B\u306B\uFF08\u3064\u307E\u308A R-\u52A0\u7FA4\u306E\u81EA\u5DF1\u540C\u578B\u304B\u3089\u306A\u308B\u7FA4\u3068\u3057\u3066\uFF09\u4F5C\u7528\u3059\u308B R-\u52A0\u7FA4\u306B\u5BFE\u3057\u3066\u3082\u7528\u3044\u3089\u308C\u308B\u3002"@ja . . "26068776"^^ . . . . . . . . . . "In mathematics, given a group G, a G-module is an abelian group M on which G acts compatibly with the abelian group structure on M. This widely applicable notion generalizes that of a representation of G. Group (co)homology provides an important set of tools for studying general G-modules. The term G-module is also used for the more general notion of an R-module on which G acts linearly (i.e. as a group of R-module automorphisms)."@en . . "5322"^^ . . . . . . . . . "1124259647"^^ . . . "G-module"@en . "\uAD70\uC758 \uAC00\uAD70"@ko . . . "\u6570\u5B66\u306B\u304A\u3044\u3066\u3001\u4E0E\u3048\u3089\u308C\u305F\u7FA4 G \u4E0A\u306E\u52A0\u7FA4\uFF08\u304B\u3050\u3093\u3001\u82F1: module over G\uFF09\u307E\u305F\u306F G-\u52A0\u7FA4 (G-module) \u3068\u306F\u3001\u30A2\u30FC\u30D9\u30EB\u7FA4 M \u3067\u3042\u3063\u3066 M \u306E\u7FA4\u69CB\u9020\u3068\u4E21\u7ACB\u3059\u308B G \u306E\u4F5C\u7528\u3092\u6301\u3064\u3082\u306E\u3092\u3044\u3046\u3002\u3053\u308C\u306F G \u306E\u8868\u73FE\u306B\u5E83\u304F\u4E00\u822C\u306B\u7528\u3044\u308B\u3053\u3068\u306E\u3067\u304D\u308B\u6982\u5FF5\u3067\u3042\u308B\u3002\u7FA4\u30B3\u30DB\u30E2\u30ED\u30B8\u30FC\u306F G-\u52A0\u7FA4\u306E\u4E00\u822C\u8AD6\u306E\u7814\u7A76\u306B\u304A\u3044\u3066\u91CD\u8981\u306A\u9053\u5177\u3092\u3044\u304F\u3064\u3082\u63D0\u4F9B\u3059\u308B\u3002 G-\u52A0\u7FA4\u3068\u3044\u3046\u7528\u8A9E\u306F\u3082\u3063\u3068\u3044\u3063\u3071\u3093\u306B\u3001G \u304C\u7DDA\u578B\u306B\uFF08\u3064\u307E\u308A R-\u52A0\u7FA4\u306E\u81EA\u5DF1\u540C\u578B\u304B\u3089\u306A\u308B\u7FA4\u3068\u3057\u3066\uFF09\u4F5C\u7528\u3059\u308B R-\u52A0\u7FA4\u306B\u5BFE\u3057\u3066\u3082\u7528\u3044\u3089\u308C\u308B\u3002"@ja . . . . . . "In mathematics, given a group G, a G-module is an abelian group M on which G acts compatibly with the abelian group structure on M. This widely applicable notion generalizes that of a representation of G. Group (co)homology provides an important set of tools for studying general G-modules. The term G-module is also used for the more general notion of an R-module on which G acts linearly (i.e. as a group of R-module automorphisms)."@en . . . . . . . . . "\u7FA4\u4E0A\u306E\u52A0\u7FA4"@ja . . . . . .