query: Idempotents in a ring of fractions of the tensor product of Gaussian integers
positive_passages.docid: 147585
positive_passages.text: Tensor Product of the fraction field of the Gaussian Integers
negative_passages.docid: 57732
negative_passages.text: Rings of fractions and homomorphisms
negative_passages.docid: 88199
negative_passages.text: The commutator subgroup of a quotient in terms of the commutator subgroup and the kernel
negative_passages.docid: 1425
negative_passages.text: The Chinese Remainder Theorem for Rings.
negative_passages.docid: 43155
negative_passages.text: Cyclotomic Polynomials and GCD
negative_passages.docid: 83115
negative_passages.text: A set of elements in a reduced unity ring
negative_passages.docid: 59134
negative_passages.text: Proving idempotent elements in $\mathbb{Z}_n$
negative_passages.docid: 1751
negative_passages.text: When does the tensor product distribute over an infinite direct product?
negative_passages.docid: 66134
negative_passages.text: Sufficiently many idempotents and commutativity
negative_passages.docid: 53266
negative_passages.text: Show that $R/I\otimes_R R/J\cong R/(I+J)$
negative_passages.docid: 47589
negative_passages.text: Product of a primitive matrix and its transpose.
negative_passages.docid: 60674
negative_passages.text: Finitely generated idempotent ideals are principal: proof without using Nakayama's lemma
negative_passages.docid: 108601
negative_passages.text: Show structure of a commutative ring in a tensor product
negative_passages.docid: 111191
negative_passages.text: Show that $P_i$ and $\sum_i P_i$ being idempotent implies $P_i P_j=\delta_{ij}$
negative_passages.docid: 133019
negative_passages.text: Nilpotent elements in $\mathbb Z_n$
negative_passages.docid: 157236
negative_passages.text: Tensor product of modules.
negative_passages.docid: 129438
negative_passages.text: Gaussian Integers and Quotient Rings