محرم آقاپورنهر

d`ُ A ¨˜£d§􀀀 a rÖ􀀀 ¢• œy¡ ¨› AKž 􀀀dt􀀀 . F􀀀 ©r wž C􀀀dk§ ¨§AA ©􀀀¢ql R ¢˜AFC Ÿ§􀀀 C H•Amyny›œ¡-a £Agž ،dJA C􀀀dA -a š¤d›-R –§ M ¤ R ¨`Rw› ¢ql E􀀀 2 ©¤As› A§ rtkÙw• .i = , 1, 2 ©􀀀r Exti R(R/a,M) w H•Amyny› A F􀀀 š A`› M w ¤ š¤d›-R –§ M ،R ¨`Rw› ¢ql E􀀀 2 d`ُ A ¨˜£d§􀀀 a rÖ􀀀 ¢• œyn•¨› A Ÿyncm¡ H•Amyny› Exti R(R/a,M) ،i ≤ t + 1 r¡ ©􀀀r ¢• ©CwV¢ dJA ¨fn›Až y} dˆ –§ t w H•Amyny› A F􀀀 š A`› i ≤ t − 1 r¡ ©􀀀r Hi a(M) w H•Amyny›œ¡-a £Agž ،dJA Ÿ§􀀀 C ¢• œy¡ ¨› AKž lW› Ÿ§􀀀 E􀀀 ©􀀀¢ytž 􀀀wnˆ¢ .i ≤ t r¡ ©􀀀r Hom(R/a,Hi a(M)) i ≥ r¡ ©􀀀r H2i a (M) w H•Amyny›œ¡-a £Agž ،dJA H•Amyny› š¤d›-R –§ M rÖ􀀀 X§􀀀rJ Hi a(M) wH•Amyny›œ¡-a ©􀀀r ¨A• ªrJ i ≥ r¡ ©􀀀r H2i+1 a (M) wH•Amyny›œ¡-a A§ .dJA¨› i ≥ r¡ ©􀀀r Aً›¤z˜ ¢ž) š¤d›-R –§ M ¤ R ¢ql E􀀀 ¨§A¡š£d§􀀀 b ⊆ a rÖ􀀀 ¢• œy¡ ¨› AKž ¢›􀀀 􀀀 C š A`› Hd a (M) ¨`Rw› ©Òw˜wm¡w• š¤d› Ÿ§r w ¨ny C £Agž ،dJA d d`ُ A )d˜w› ¨¡Ant› : Hd a (M) x ¢• ©CwV¢ dJA ¢tJ􀀀 w¤ x ∈ a rÖ􀀀 £Ñ§¤¢ . : Hd a (M) b w H•Amyny› A F􀀀 —􀀀C􀀀 £AgKž􀀀 £dykÙ . F􀀀 ¨ny C Hd a (M) £Agž ،dJA H•Amyny› Ÿkm› ، w ¨ny C w¤ A ¨`Rw› ©Òw˜wm¡w• š¤d› Ÿ§r ¢• œy¡ ¨› AKž šA› –§ A ¤ ¨ny C ©􀀀r ©EAFPK› –§ A§AÓ C .dJAbž ¨¡Ant›œ¡ r\ž Cw› š£d§􀀀 ¢ bsž F􀀀 .œyn•¨› ¢¶􀀀C􀀀 ¨`Rw› ©Òw˜wm¡w• š¤d› Ÿ§r w ¨¡Ant›œ¡