半群分次環(huán)上的Morita對偶.pdf

1、河北師范大學(xué)碩士學(xué)位論文半群分次環(huán)上的Mita對偶姓名：李艷梅申請學(xué)位級別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：張子龍20030504塑!!塹墊盎堂嬰主塑塞圭蘭堡堡塞主墊墮3AbstractThispaperdiscussMoritaDualityofsemigroup—gradedrings，andgetaequivalencebetweendualityfunctorofgradedmodulecategoryandbi—gradedbim

2、oduleFirstlywegivethedefinitionofsemigroupbigradedRA—bimodule，andadualityfunctorbetween(R，S)一grandgr一(A，Q)namelycategoryofS—gradedleftR—moduleandQ—gradedrightA～moduleInthesection2，animportantroleisplayedbythesubsets[(71丁

3、】u∈QlOW=7_)ofQ，where盯，7∈QwegetsomeusefulcharactorsofrightA—module，andfindanindexset(q。)n，q4=1口一1。A，isasystemoffinitelygeneratedprojec—tivegeneratorsofgr一(A，Q)forsomeQ—gradedringsResults，wegivethedefinitionofsemigroupgr—f

4、uithfullybalancedAtthebaseofthese，insection3weinvestigatetherelationshipbetweenbigradedbimoduleandthatdualityfunetor：let￡obefullsubcategoriesof(R，S)一grandgr一(A，n)respectively，F(xiàn)：c_9andF’：刃_cbeaduality，assumethatforeveryS∈