The kernel of a ring homomorphism f:R-->S is the set of all elements of R which are mapped to zero. It is the kernel of f as a homomorphism of additive groups. It is an ideal of R.
1) By definition: f is Homomorphism + f bijective (= surjective + injective)2) f is homomorphism + f has inverse map Note: The kernel of a map (homomorphism) is the Ideal of a ring.Two ways to construct an Ideal: 1) use Kernel of the map 2) by the generators of the map....
ideal kernel of a homomorphism专业释义 <数学> 同态的理想核词条提问 欢迎你对此术语进行提问>> 行业词表 石油纺织轻工业造纸采矿信息学农业冶金化学医学医药地理地质外贸建筑心理学数学机械核能汽车海事消防物理生物学电力电子金融财会证券法律管理经贸人名药名解剖学胚胎学生理学药学遗传学中医印刷商业商务大气科学天文...
I * is also examined in terms of a sequence of subideals I n and the relation type of I when R is a local ring. Several characterizations of I * are given in terms of the kernels of certain ring homomorphisms, and then it is shown that this new ideal has many nice applications, ...
Let (x)(x) be the principal ideal of R[x,y]R[x,y] generated by xx. Prove that R[x,y]/(x)R[x,y]/(x) is isomorphic to R[y]R[y] as a ring. Read solution Click here if solved 20 Add to solve later Group Theory 06/27/2017 A Group Homomorphism that Factors though Ano...