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   on quasi primary ideals and weakly quasi primary ideals  
   
نویسنده alehafttan alireza
منبع caspian journal of mathematical sciences - 2024 - دوره : 13 - شماره : 1 - صفحه:106 -117
چکیده    ‎let r be a commutative ring with identity‎. ‎a proper ideal q‎‎of r is called quasi primary (weakly quasi primary) if whenever abin q (0neq abin q) for some a,b in r‎, ‎then ain sqrt{q} or bin sqrt{q}‎. ‎in this paper‎, ‎we study quasi primary (weakly quasi primary) ideals which are generalization of prime ideals‎. ‎our study provides an analogous to the prime avoidance‎‎theorem‎. ‎we determined the noetherian rings that each ideal of them is quasi primary and the rings that each ideal of them is weakly quasi primary‎. ‎besides giving various‎‎examples and characterizations of quasi primary and weakly quasi primary and we investigate‎‎the relations between them‎.
کلیدواژه prime ideal‎ ,quasi primary ideal‎ ,weakly quasi primary ideal‎
آدرس jundi-shapur university of technology, department of mathematics, iran
پست الکترونیکی a.r.alehafttan@jsu.ac.ir
 
     
   
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