Finite depth and Jacobson–Bourbaki correspondence
- 作者：Lars Kadison
- 关键词：Plutella xylostella ; Diamondback moth ; Podisus maculiventris ; Spined-soldier bug ; Cotesia plutellae ; Intraguild predation ; Predator– ; parasitoid interaction ; Biological control
- 刊名：Journal of Pure and Applied Algebra
- 出版年：2008
- 期刊代码：35_00224049
- 类别：mt
- 出版时间：July 2008
- 卷：212
- 期：7
- 页码：1822-1839
- 文件大小：384 K
摘要
We introduce a notion of depth three tower name="mml1">n:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V0K-4RWJW2W-1&_mathId=mml1&_user=1067359&_cdi=5649&_rdoc=19&_acct=C000050221&_version=1&_userid=10&md5=4d17771b97f7d2849a7166b0f0aa37ed" title="Click to view the MathML source" alt="Click to view the MathML source">C
ncedirect.com/scidirimg/entities/2286.gif" alt="subset of or equal to" title="subset of or equal to" border="0">Bncedirect.com/scidirimg/entities/2286.gif" alt="subset of or equal to" title="subset of or equal to" border="0">A with depth two ring extension name="mml2">n:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V0K-4RWJW2W-1&_mathId=mml2&_user=1067359&_cdi=5649&_rdoc=19&_acct=C000050221&_version=1&_userid=10&md5=3e988183222b7cd8f8a4af6263e5bba9" title="Click to view the MathML source" alt="Click to view the MathML source">A|B being the case name="mml3">n:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V0K-4RWJW2W-1&_mathId=mml3&_user=1067359&_cdi=5649&_rdoc=19&_acct=C000050221&_version=1&_userid=10&md5=820c338a002b1a81226bd44ff45f000b" title="Click to view the MathML source" alt="Click to view the MathML source">B=C. If name="mml4">n class="inlMMLBox">nce?_ob=MathURL&_method=retrieve&_udi=B6V0K-4RWJW2W-1&_mathId=mml4&_user=1067359&_cdi=5649&_rdoc=19&_acct=C000050221&_version=1&_userid=10&md5=de6b8d367c5478471273ff9ca97810d3">ncedirect.com/cache/MiamiImageURL/B6V0K-4RWJW2W-1-1F9/0?wchp=dGLbVzW-zSkzk" alt="View the MathML source" title="View the MathML source" align="absbottom" border="0" height=11 width="72"/> n> and name="mml5">n:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V0K-4RWJW2W-1&_mathId=mml5&_user=1067359&_cdi=5649&_rdoc=19&_acct=C000050221&_version=1&_userid=10&md5=22a22ce50790884c82e7a2c2deed7280" title="Click to view the MathML source" alt="Click to view the MathML source">B|C is a Frobenius extension with name="mml6">n:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V0K-4RWJW2W-1&_mathId=mml6&_user=1067359&_cdi=5649&_rdoc=19&_acct=C000050221&_version=1&_userid=10&md5=2b88e962db217a314d81d0c15f954e40" title="Click to view the MathML source" alt="Click to view the MathML source">A|B|C depth three, then name="mml7">n:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V0K-4RWJW2W-1&_mathId=mml7&_user=1067359&_cdi=5649&_rdoc=19&_acct=C000050221&_version=1&_userid=10&md5=f0d0fd71879168e1ed881b6f5546d834" title="Click to view the MathML source" alt="Click to view the MathML source">A|C is depth two. If name="mml8">n:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V0K-4RWJW2W-1&_mathId=mml8&_user=1067359&_cdi=5649&_rdoc=19&_acct=C000050221&_version=1&_userid=10&md5=3494513cb8f0ef5d6980e51c104d1e34" title="Click to view the MathML source" alt="Click to view the MathML source">A, name="mml9">n:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V0K-4RWJW2W-1&_mathId=mml9&_user=1067359&_cdi=5649&_rdoc=19&_acct=C000050221&_version=1&_userid=10&md5=2db62c7c2a549d71fe0425065911ef64" title="Click to view the MathML source" alt="Click to view the MathML source">B and name="mml10">n:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V0K-4RWJW2W-1&_mathId=mml10&_user=1067359&_cdi=5649&_rdoc=19&_acct=C000050221&_version=1&_userid=10&md5=6b84f98e58448252725b5302c3469ce8" title="Click to view the MathML source" alt="Click to view the MathML source">C correspond to a tower name="mml11">n:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V0K-4RWJW2W-1&_mathId=mml11&_user=1067359&_cdi=5649&_rdoc=19&_acct=C000050221&_version=1&_userid=10&md5=ceda266cfd7ab52b4fc2770079b9cf38" title="Click to view the MathML source" alt="Click to view the MathML source">G>H>K via group algebras over a base ring name="mml12">n:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V0K-4RWJW2W-1&_mathId=mml12&_user=1067359&_cdi=5649&_rdoc=19&_acct=C000050221&_version=1&_userid=10&md5=c330e6b92cbb7a5ed5a0b475fdcdffc1" title="Click to view the MathML source" alt="Click to view the MathML source">F, the depth three condition is the condition that name="mml13">n:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V0K-4RWJW2W-1&_mathId=mml13&_user=1067359&_cdi=5649&_rdoc=19&_acct=C000050221&_version=1&_userid=10&md5=a9619c9d81ecb63f52544ea39f843211" title="Click to view the MathML source" alt="Click to view the MathML source">K has normal closure name="mml14">n:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V0K-4RWJW2W-1&_mathId=mml14&_user=1067359&_cdi=5649&_rdoc=19&_acct=C000050221&_version=1&_userid=10&md5=f110dbeff954132e06d83b25edf7a88f" title="Click to view the MathML source" alt="Click to view the MathML source">KG contained in name="mml15">n:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V0K-4RWJW2W-1&_mathId=mml15&_user=1067359&_cdi=5649&_rdoc=19&_acct=C000050221&_version=1&_userid=10&md5=81bdc1a7cb2feb29464147bec1e71abb" title="Click to view the MathML source" alt="Click to view the MathML source">H. For a depth three tower of rings, a pre-Galois theory for the ring name="mml16">n class="inlMMLBox">nce?_ob=MathURL&_method=retrieve&_udi=B6V0K-4RWJW2W-1&_mathId=mml16&_user=1067359&_cdi=5649&_rdoc=19&_acct=C000050221&_version=1&_userid=10&md5=683df885c6eb07dbcf12d08f5d0c90d0">ncedirect.com/cache/MiamiImageURL/B6V0K-4RWJW2W-1-TD/0?wchp=dGLbVzW-zSkzk" alt="View the MathML source" title="View the MathML source" align="absbottom" border="0" height=14 width="55"/> n> and coring name="mml17">n:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V0K-4RWJW2W-1&_mathId=mml17&_user=1067359&_cdi=5649&_rdoc=19&_acct=C000050221&_version=1&_userid=10&md5=f9ebbc7b612baa884f79cf73c1849bf9" title="Click to view the MathML source" alt="Click to view the MathML source">(Ancedirect.com/scidirimg/entities/2297.gif" alt="circle times operator" title="circle times operator" border="0">BA)C involving Morita context bimodules and left coideal subrings is applied to specialize a Jacobson–Bourbaki correspondence theorem for augmented rings to depth two extensions with depth three intermediate division rings.