Generation of proper classes of short exact sequences
The generation of proper classes of short exact sequences of modules by subclasses is considered. The class generated by two proper classes is studied by means of some operations between these classes. These operations are investigated in details for classes of short quasi-splitting, torsion-splitti...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1997-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S016117129700063X |
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doaj-ab627eed192d49bfabc019188bb7c2bb2020-11-24T22:13:33ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-0120346547310.1155/S016117129700063XGeneration of proper classes of short exact sequencesAli Pancar0Department of Mathematics, Karadeniz Tech. University, Trabzon 61080, TurkeyThe generation of proper classes of short exact sequences of modules by subclasses is considered. The class generated by two proper classes is studied by means of some operations between these classes. These operations are investigated in details for classes of short quasi-splitting, torsion-splitting and pure exact sequences of abelian groups.http://dx.doi.org/10.1155/S016117129700063Xproper class of short exact sequencesgenerated proper class coprojectively (coinjectively) generated classsum of proper classesquasi-splitting (puretorsion splitting) short exact sequencescotorsion groupsUlm's subgroup. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ali Pancar |
| spellingShingle |
Ali Pancar Generation of proper classes of short exact sequences International Journal of Mathematics and Mathematical Sciences proper class of short exact sequences generated proper class coprojectively (coinjectively) generated class sum of proper classes quasi-splitting (pure torsion splitting) short exact sequences cotorsion groups Ulm's subgroup. |
| author_facet |
Ali Pancar |
| author_sort |
Ali Pancar |
| title |
Generation of proper classes of short exact sequences |
| title_short |
Generation of proper classes of short exact sequences |
| title_full |
Generation of proper classes of short exact sequences |
| title_fullStr |
Generation of proper classes of short exact sequences |
| title_full_unstemmed |
Generation of proper classes of short exact sequences |
| title_sort |
generation of proper classes of short exact sequences |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1997-01-01 |
| description |
The generation of proper classes of short exact sequences of modules by subclasses is
considered. The class generated by two proper classes is studied by means of some operations between
these classes. These operations are investigated in details for classes of short quasi-splitting, torsion-splitting
and pure exact sequences of abelian groups. |
| topic |
proper class of short exact sequences generated proper class coprojectively (coinjectively) generated class sum of proper classes quasi-splitting (pure torsion splitting) short exact sequences cotorsion groups Ulm's subgroup. |
| url |
http://dx.doi.org/10.1155/S016117129700063X |
| work_keys_str_mv |
AT alipancar generationofproperclassesofshortexactsequences |
| _version_ |
1725800727280877568 |