TY - JOUR ID - 661 TI - On SPAP-rings JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Rostami, E. AU - Nekooei, R. AD - Department of‎ ‎Mathematics‎, ‎Shahid Bahonar University‎ ‎of Kerman‎, ‎P.O‎. ‎Box 76169133‎, ‎Kerman‎, ‎Iran Y1 - 2015 PY - 2015 VL - 41 IS - 4 SP - 907 EP - 921 KW - SPAP-Rings KW - Perfect rings KW - quasi-Frobenius rings KW - Gorenstein rings KW - Prime submodules DO - N2 - In this paper we focus on a special class of commutative local‎ ‎rings called SPAP-rings and study the relationship between this‎ ‎class and other classes of rings‎. ‎We characterize the structure of‎ ‎modules and especially‎, ‎the prime submodules of free modules over‎ ‎an SPAP-ring and derive some basic properties‎. ‎Then we answer the‎ ‎question of Lam and Reyes about strongly Oka ideals family‎. ‎Finally‎, ‎we characterize the structure of SPAP-ring in special‎ ‎cases‎. UR - http://bims.iranjournals.ir/article_661.html L1 - http://bims.iranjournals.ir/article_661_88f0c0cbb223e8372e98a688ef63d9a7.pdf ER -