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rank of M. This notion of rank agrees withprevious uses of the same term.If the ring R= F is a field, then the rank of anR-module M is the dimension of M as a vector space over F and any maximal setof F -linearly independent elements is a basis for M. For a general integral ...
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The foundation of Abstract Algebra is “Set Theory”, make effort to master the basic concepts : eg. Sub-Set, Equivalence Relation (reflexive, symmetric, transitive), Partitioning, Quotient Set, Co-Set Necessary condition (“=>”), Sufficient condition (“<=”). Both conditions (“<=>”, ...
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(5)同调代数,比如说Charles Weibel的An introduction to homological algebra。比较建议的是123,可以...
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