In the almost Dedekind domain D built from field F and prime p, the paper gives conditions for irreducibles in D_n to stay irreducible in D, shows D has no irreducibles for algebraically closed F or finite F of characteristic p, and for F=Q and p=2 proves every nonzero nonunit factors into countably
Nakano, Idealtheorie in einem speziellen unendlichen algebraischen Zahlk¨ orper , J
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AC 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Factorization in almost Dedekind domain
In the almost Dedekind domain D built from field F and prime p, the paper gives conditions for irreducibles in D_n to stay irreducible in D, shows D has no irreducibles for algebraically closed F or finite F of characteristic p, and for F=Q and p=2 proves every nonzero nonunit factors into countably