Divisorial Multiplicative Lattices
Tiberiu Dumitrescu, Mihai Epure
Abstract
We prove several fundamental results about divisorial integral domains in the setup of multiplicative lattices.
Table of Contents
Fetching ...
Divisorial Multiplicative Lattices
Authors
Abstract
We prove several fundamental results about divisorial integral domains in the setup of multiplicative lattices.
Paper Structure
This paper contains 11 theorems, 20 equations.
Key Result
Lemma 1
Let $L$ be a lattice domain and $a,x,y,z\in L-\{0\}$ such that $x,y,z$ are principal elements and $x,y\leq a$. Then $(i)$$z(y:a) = (zy:a)$, $(ii)$$(x:(x:a)) = (y:(y:a)).$
Theorems & Definitions (31)
- Lemma 1
- proof
- Definition 2
- Proposition 3
- proof
- Example 4
- Example 5
- Proposition 6
- proof
- Definition 7
- ...and 21 more