query: Orthogonal idempotents from disjoint union in $\text{Spec}(A)$
positive_passages.docid: 16255
positive_passages.text: If $\mathop{\mathrm{Spec}}A$ is not connected then there is a nontrivial idempotent
negative_passages.docid: 37060
negative_passages.text: The Parallelogram Identity for an inner product space
negative_passages.docid: 117131
negative_passages.text: Canonical Isomorphism Between $\mathbf{V}$ and $(\mathbf{V}^*)^*$
negative_passages.docid: 14550
negative_passages.text: Every Hilbert space has an orthonomal basis - using Zorn's Lemma
negative_passages.docid: 134840
negative_passages.text: Generators and relations for $\text{PSL}(2, \mathbb{F}_q)$
negative_passages.docid: 145462
negative_passages.text: On the canonical isomorphism between $V$ and $V^{**}$
negative_passages.docid: 24685
negative_passages.text: Expressing a Countable Union of Sets as the Countable Union of Disjoint Sets (e.g. Eliminating Duplicate Intersections)
negative_passages.docid: 104097
negative_passages.text: An idempotent operator is compact if and only if it is of finite rank
negative_passages.docid: 14438
negative_passages.text: Trees with explicit formula
negative_passages.docid: 587
negative_passages.text: Ideal Generated by the Union of Two Ideals
negative_passages.docid: 114524
negative_passages.text: Proof Verification: the orthogonal complement of the column space is the left nullspace
negative_passages.docid: 72350
negative_passages.text: Constructing Idempotent Generator of Idempotent Ideal
negative_passages.docid: 140724
negative_passages.text: How to prove two equivalence classes are disjoint?
negative_passages.docid: 17031
negative_passages.text: Idempotent linear operators are projections
negative_passages.docid: 82788
negative_passages.text: Direct summand of a free module
negative_passages.docid: 52642
negative_passages.text: Show that $\text{C}/c \cong (c/(\text{C}^{\text{op}}))^{\text{op}}$
negative_passages.docid: 145273
negative_passages.text: Disjoint $AC$ equivalent to $AC$