Some Results on Pure Ideals and Trace Ideals of Projective Modules
نویسندگان
چکیده
Let R be a commutative ring with the unit element. It is shown that an ideal I in pure if and only Ann(f) + = for all f ∈ I. If J trace of projective R-module M, we prove generated by “coordinates” M JM M. These lead to few new results alternative proofs some known results.
منابع مشابه
injective modules and prime ideals
محور اصلی این پایان نامه، r- مدولهای a – انژکتیو می باشد که آنها را به عنوان یک تعمیم از مدول های انژکتیو معرفی می کنیم. در ابتدا مدول های انژکتیو را معرفی کرده، سپس برخی نتایج مهم وشناخته شده مدول های انژکتیو را به مدول های a – انژکتیو تعمیم می دهیم. در ادامه رابطه بین مدول های a – انژکتیو و حلقه های نوتری را بررسی می کنیم. پس هدف کلی این پایان نامه این است که با بررسی انژکتیو بودن ایده آله...
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ژورنال
عنوان ژورنال: Acta mathematica Vietnamica
سال: 2021
ISSN: ['0251-4184', '2315-4144']
DOI: https://doi.org/10.1007/s40306-021-00451-0