query: Is the ring of entire functions on $\mathbb C$ a UFD?
positive_passages.docid: 17139
positive_passages.text: Ring of holomorphic functions
negative_passages.docid: 62251
negative_passages.text: "Maximum common divisor" for entire functions
negative_passages.docid: 42652
negative_passages.text: Must $k$-subalgebra of $k[x]$ be finitely generated?
negative_passages.docid: 117131
negative_passages.text: Canonical Isomorphism Between $\mathbf{V}$ and $(\mathbf{V}^*)^*$
negative_passages.docid: 76971
negative_passages.text: Entire functions bounded along $\vert z\vert = R$
negative_passages.docid: 104233
negative_passages.text: Is the ring of the polynomials on a finite algebraic set always a product of local rings?
negative_passages.docid: 127436
negative_passages.text: Conformal Maps onto the Unit Disc in $\mathbb{C}$
negative_passages.docid: 10254
negative_passages.text: Is the Polynomial Factor Theorem true over all commutative rings?
negative_passages.docid: 129371
negative_passages.text: Maximal ideals in the ring of real functions on $[0,1]$
negative_passages.docid: 78350
negative_passages.text: When does a finite ring become a finite field?
negative_passages.docid: 5802
negative_passages.text: Proving the universal mapping property for polynomial rings
negative_passages.docid: 122356
negative_passages.text: Complex Analysis, Entire functions
negative_passages.docid: 53335
negative_passages.text: Why isn't $\mathbb{C}[x,y,z]/(xz-y)$ a flat $\mathbb{C}[x,y]$-module
negative_passages.docid: 147270
negative_passages.text: Entire function. Prove that $f(\bar{z})=\overline{f(z)}, \forall z\in C$
negative_passages.docid: 96452
negative_passages.text: Is the closedness of the image of a Fredholm operator implied by the finiteness of the codimension of its image?
negative_passages.docid: 82464
negative_passages.text: $U^*\otimes V$ versus $L(U,V)$ for infinite dimensional spaces
negative_passages.docid: 139337
negative_passages.text: Ultrafilter Lemma implies Compactness/Completeness of FOL