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0704.2161.txt |@word unsolved:1 homomorphism:1 hutchins:2 show:2 over:8 results:2 paper:2 eme:1 satisfies:3 still:2 trivial:2 its:7 principal:2 nicolas:1 xvi:1 submodule:14 number:1 family:1 integer:1 field:1 valuation:7 epartement:1 conclude:5 character:11 unity:1 examples:1 lemma:2 only:8 extends:1 choose:1 easy:4 theorem:18 mail:1 must:1 local:3 oct:1 semisimple:1 maximal:13 case:1 non:7 infinite:1 lambek:3 isomorphisms:1 auto:1 showing:1 de:3 matlis:3 isomorphic:1 heinzer:1 me:1 corollary:14 every:9 words:1 using:2 now:3 exact:2 domains:2 condition:6 prime:4 exemples:1 necessary:1 aust:1 presented:1 follows:2 arxiv:1 laboratoire:1 proposition:8 either:7 semilocal:1 each:28 multiplicative:13 society:1 reduced:2 associative:1 subset:12 domain:14 because:1 successively:1 neumann:1 exists:2 submodules:1 xq:1 house:1 some:1 direct:3 module:35 ideals:1 ext1r:1 deduce:5 result:2 ez:1 injectifs:1 satisfied:1 subject:1 satisfying:3 rp:12 cnrs:1 unital:1 sum:3 since:7 rings:9 rz:1 hereditary:1 polygonal:1 providence:1 contained:2 ra:1 summand:2 respectively:2 probably:1 get:1 order:1 conditions:6 equivalent:3 math:6 shows:2 franc:3 endr:1 extend:1 localization:10 hull:6 complement:1 arbitrary:1 however:2 free:1 comm:2 here:1 key:1 arithmetical:11 put:1 th:1 monographs:1 injectivity:1 injective:97 quotients:1 chapter:1 remark:2 last:2 dedekind:1 extension:2 many:1 study:2 blaisdell:1 goldie:11 communicated:1 mathematical:2 union:1 whence:1 regular:2 0d:1 0e:1 consequence:2 consequently:3 first:2 proc:1 soc:2 contains:2 publishing:1 classification:1 inclusion:1 image:1 address:1 primary:1 14b:1 assertion:1 multiplication:1 anneaux:1 references:2 another:1 moreover:3 ring:31 total:1 open:1 linearly:1 torsion:4 pr:12 surveys:1 amer:1 checked:1 commutative:4 second:1 start:1 addition:1 there:3 question:2 france:1 almost:1 subrings:1 too:3 way:1 colby:2 ordered:1 was:1 von:1 cogenerator:1 fractions:1 flat:13 complete:1 valuations:1 semicoherent:16 sequel:1 ematiques:2 immediate:2 coherent:18 part:1 homr:26 known:1 lectures:1 hold:2 true:2 localizations:9 finitely:20 splits:1 subsets:2 characterize:1 fuchs:4 recall:1 zero:1 uniserial:2 aim:1 whenever:1 obvious:3 assume:3 phrases:1 following:13 indecomposable:3 property:1 example:9 proof:10 ohm:1 proved:1 do:1 defined:1 modules:22 abstract:1 thus:1 doesn:2 denote:1 ii:2 contradicts:1 say:3 xiii:2 exist:1 14c:1 14a:1 iii:1 semiregular:1 noetherian:2 ufer:12 any:10 constructed:1 again:1 min:2 conversely:2 self:5 holds:2 generally:1 american:1 same:1 check:3 instance:1 ideal:17 take:1 pure:6 mathematics:1 you:1 finite:23 arithmetic:1 fp:22 map:1 begin:1 converse:2 waltham:1 see:1 algebra:5 may:2 suppose:1 unicaen:1 sequence:3 hence:1 generated:7 said:4 ecanique:1 but:3 cedex:1 pair:2 ois:3 caen:1 identity:1 rmodule:1 max:7 natural:1 dade:6 umr:1 well:1 salce:5 element:3 countable:3 eor:1 fr:1 so:11 quotient:1 er:5 dimension:12 classical:1 minimal:1 |
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