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integral domain

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integral domain [′int·ə·grəl dō′mān]
(mathematics)
A commutative ring with identity where the product of nonzero elements is never zero. Also known as entire ring.
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9781584888512 Simple extensions with the minimum degree relations of integral domains.
Simple extensions with the minimum degree relations of integral ... by SciTech Book News
Nicholson starts with a review of proofs, sets, mappings and equivalences, then in 11 chapters covers integers and permutations, groups, rings, polynomials, factorization in integral domains, fields, modules over principal ideal domains, p-groups and the Sylow theorems, series of subgroups, Galois theory and finiteness conditions for rings and modules.
Introduction to abstract algebra, 3d ed by SciTech Book News
He starts by covering the classical theorems, then describes the integral domain of rational integers, Euclidean domains, rings of polynomials and former power series, the Chinese remainder theorem and the evaluation of a number of solutions of a linear congruence with side conditions, reciprocity laws, and finite groups.
Certain number-theoretic episodes in algebra by SciTech Book News
 
 
 
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