Left global dimensions and inverse polynomial modules
We prove the fact l.gl.dimR[x]=(l.gl.dimR)+1, where l.gl.dim means the left global dimension by using inverse polynomial modules and injective dimensions. The classical way to prove the fact l.gl.dimR[x]=(l.gl.dimR)+1 is using polynomial modules and projective dimensions.
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171200004129 |
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| _version_ | 1841524782149926912 |
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| author | Sangwon Park |
| author_facet | Sangwon Park |
| author_sort | Sangwon Park |
| collection | DOAJ |
| description | We prove the fact l.gl.dimR[x]=(l.gl.dimR)+1, where l.gl.dim means the left global dimension by using inverse polynomial modules
and injective dimensions. The classical way to prove the fact
l.gl.dimR[x]=(l.gl.dimR)+1 is using polynomial modules and
projective dimensions. |
| format | Article |
| id | doaj-art-6234447be8f9418894c761fcb5066b33 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-6234447be8f9418894c761fcb5066b332025-02-03T05:47:21ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0124743744010.1155/S0161171200004129Left global dimensions and inverse polynomial modulesSangwon Park0Department of Mathematics, Dong-A University, Pusan 604-714, KoreaWe prove the fact l.gl.dimR[x]=(l.gl.dimR)+1, where l.gl.dim means the left global dimension by using inverse polynomial modules and injective dimensions. The classical way to prove the fact l.gl.dimR[x]=(l.gl.dimR)+1 is using polynomial modules and projective dimensions.http://dx.doi.org/10.1155/S0161171200004129Inverse polynomial moduleinjective moduleshort exact sequenceleft global dimension. |
| spellingShingle | Sangwon Park Left global dimensions and inverse polynomial modules International Journal of Mathematics and Mathematical Sciences Inverse polynomial module injective module short exact sequence left global dimension. |
| title | Left global dimensions and inverse polynomial modules |
| title_full | Left global dimensions and inverse polynomial modules |
| title_fullStr | Left global dimensions and inverse polynomial modules |
| title_full_unstemmed | Left global dimensions and inverse polynomial modules |
| title_short | Left global dimensions and inverse polynomial modules |
| title_sort | left global dimensions and inverse polynomial modules |
| topic | Inverse polynomial module injective module short exact sequence left global dimension. |
| url | http://dx.doi.org/10.1155/S0161171200004129 |
| work_keys_str_mv | AT sangwonpark leftglobaldimensionsandinversepolynomialmodules |