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Finitely Generated Modules over Group Rings of a Direct Product of Two Cyclic Groups
2014
Algebra
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LetKbe a commutative field of characteristicp>0and letG=G1×G2, whereG1andG2are two finite cyclic groups. We give some structure results of finitely generatedK[G]-modules in the case where the order ofGis divisible byp. Extensions of modules are also investigated. Based on these extensions and in the same previous case, we show thatK[G]-modules satisfying some conditions have a fairly simple form.
doi:10.1155/2014/256020
fatcat:oembu4twafaodmtuiobgzsgyiu