Cancellation elements in multiplicative lattices
Tiberiu Dumitrescu
Abstract
We extend to multiplicative lattices a theorem of Anderson and Roitman characterizing the cancellation ideals of a commutative ring.
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Cancellation elements in multiplicative lattices
Authors
Abstract
We extend to multiplicative lattices a theorem of Anderson and Roitman characterizing the cancellation ideals of a commutative ring.
Paper Structure (9 theorems, 19 equations)
This paper contains 9 theorems, 19 equations.
Key Result
Theorem 2
Let $L$ be an r-lattice having property delta. An element $Q$ of $L$ is a cancellation element iff $Q_m$ is a principal regular element of $L_m$ for each maximal element $m$.
Theorems & Definitions (18)
- Definition 1
- Theorem 2
- Lemma 3
- proof
- Lemma 4
- proof
- Lemma 5
- proof
- Lemma 6
- proof
- ...and 8 more