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| 001 | koha000892182 | ||
| 005 | 20220414124133.0 | ||
| 007 | cr | | ||
| 008 | 220407|2021 xxu s a eng d | ||
| 024 | 7 |
_a10.1134/S0001434621070051 _2doi |
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| 035 | _akoha000892182 | ||
| 040 |
_aRU-ToGU _brus _cRU-ToGU |
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| 100 | 1 |
_aZonov, M. N. _9801662 |
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| 245 | 1 | 0 |
_aQuotient divisible groups of rank 2 _cM. N. Zonov, E. A. Timoshenko |
| 336 | _aТекст | ||
| 337 | _aэлектронный | ||
| 504 | _aБиблиогр.: 15 назв. | ||
| 506 | _aОграниченный доступ | ||
| 520 | 3 | _aIn the paper, representations of torsion-free Abelian groups of rank 2 using torsion-free groups of rank 1 are studied. Necessary and sufficient conditions are found under which a group given by such a representation is quotient divisible. A criterion is obtained for two p-minimal quotient divisible torsion-free groups of rank 2 to be isomorphic to each other. An example is constructed showing that two such groups can be embedded in each other but be nonisomorphic. A series of properties of fundamental systems of elements of quotient divisible groups of arbitrary finite rank is established. | |
| 653 | _aабелевы группы | ||
| 653 | _aфакторно делимые группы | ||
| 653 | _aгруппы 2-ранга | ||
| 655 | 4 |
_aстатьи в журналах _9801663 |
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| 700 | 1 |
_aTimoshenko, E. A. _9480670 |
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| 773 | 0 |
_tMathematical notes _d2021 _gVol. 110, № 1. P. 48-60 _x0001-4346 |
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| 852 | 4 | _aRU-ToGU | |
| 856 | 4 | _uhttp://vital.lib.tsu.ru/vital/access/manager/Repository/koha:000892182 | |
| 908 | _aстатья | ||
| 999 | _c892182 | ||