Changeset 43e3e7 in git
- Timestamp:
- Dec 19, 2013, 7:10:51 PM (9 years ago)
- Branches:
- (u'jengelh-datetime', 'ceac47cbc86fe4a15902392bdbb9bd2ae0ea02c6')(u'spielwiese', 'a800fe4b3e9d37a38c5a10cc0ae9dfa0c15a4ee6')
- Children:
- 7d6b46b1e32c6f00526d9f506b4770b33c56a078
- Parents:
- 3704689516d0ca11e78148efc9c5c35f6a4bbef8
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- 1 edited
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Singular/LIB/schreyer.lib
r370468 r43e3e7 10 10 originally meant to be used by @code{derham.lib} (which requires resolutions over the homogenized Weyl algebra). 11 11 The library works both in the commutative and non-commutative setting (cf. [MO]). 12 Here, we call a free resolution a Schreyer resolution if any higher syzygy module is a Groebner basis of a previous one12 Here, we call a free resolution a Schreyer resolution if each syzygy module is given by a Groebner basis 13 13 with respect to the corresponding Schreyer ordering. 14 14 A Schreyer resolution can be much bigger than a minimal resolution of the same module, but may be easier to construct. … … 19 19 containing a list of modules @code{RES} and a module @code{MRES}: 20 20 @* The list of modules @code{RES} contains the images of maps (also called syzygy modules) substituting the 21 computed beginning of a Schreyer resolution, that is, each syzygy module is a Groebner basis22 of the previous one with respect to a corresponding Schreyer inducedordering.21 computed beginning of a Schreyer resolution, that is, each syzygy module is given by a Groebner basis 22 with respect to the corresponding Schreyer ordering. 23 23 @* The list @code{RES} starts with a zero map given by @code{rank(M)} zero generators indicating that the image of 24 24 the first differential map is zero. The second map @code{RES[2]} is given by @code{M}, which indicates that
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