The First Isomorphism Theorem and Other Properties of Rings
نویسندگان
چکیده
منابع مشابه
The First Isomorphism Theorem and Other Properties of Rings
Different properties of rings and fields are discussed. We introduce ring homomorphisms, their kernels and images, and prove the First Isomorphism Theorem, namely that for a homomorphism f : R −→ S we have R/ker(f) ∼= Im(f). Then we define prime and irreducible elements and show that every principal ideal domain is factorial. Finally we show that polynomial rings over fields are Euclidean and h...
متن کاملThe First-Order Isomorphism Theorem
For any class C und closed under NC reductions, it is shown that all sets complete for C under first-order (equivalently, Dlogtimeuniform AC) reductions are isomorphic under first-order computable
متن کاملA First-Order Isomorphism Theorem
We show that for most complexity classes of interest, all sets complete under rstorder projections (fops) are isomorphic under rst-order isomorphisms. That is, a very restricted version of the Berman-Hartmanis Conjecture holds. Since \natural" complete problems seem to stay complete via fops, this indicates that up to rst-order isomorphism there is only one \natural" complete problem for each \...
متن کاملinvestigation of the electronic properties of carbon and iii-v nanotubes
boron nitride semiconducting zigzag swcnt, $b_{cb}$$n_{cn}$$c_{1-cb-cn}$, as a potential candidate for making nanoelectronic devices was examined. in contrast to the previous dft calculations, wherein just one boron and nitrogen doping configuration have been considered, here for the average over all possible configurations, density of states (dos) was calculated in terms of boron and nitrogen ...
15 صفحه اولefl students gender and socioeconomic status: the use of politeness strategies in the first and second languages
within the components of communicative competence, a special emphasis is put on the “rules of politeness,” specifically the politeness strategies (brown and levinson, 1978) that speakers deploy when performing the request speech act. this is because the degree of imposition that making a request places upon one’s interlocutor(s) has been seen to be influenced by several factors among which, as ...
ذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Formalized Mathematics
سال: 2014
ISSN: 1898-9934
DOI: 10.2478/forma-2014-0029