Home/Algebra/Algebraic structures/Field27. Algebraic structuresFieldLevel: avanzadoIn 27. Algebraic structuresFormulaCopy LaTeXa≠0⇒a−1 existsa\ne0\Rightarrow a^{-1}\text{ exists}a=0⇒a−1 existsTagsalgebraCSstructuresstructures algebraicalgebra formulaDetailCommutative ring in which every nonzero element is invertible.Found an error? Contact us.Related formulasRelatedPrime finite fieldFp=Z/pZ(p primo)\mathbb F_p=\mathbb Z/p\mathbb Z\quad(p\text{ primo})Fp=Z/pZ(p primo)Open formulaOpen in sectionRelatedSpanspan(v1,…,vk)={∑icivi}\operatorname{span}(v_1,\ldots,v_k)=\{\sum_i c_iv_i\}span(v1,…,vk)={i∑civi}Open formulaOpen in section