Additively indecomposable ordinal

In set theory, a branch of mathematics, an additively indecomposable ordinal α is any ordinal number that is not 0 such that for any $\beta,\gamma<\alpha$ , we have $\beta+\gamma<\alpha.$ Additively indecomposable ordinals are also called gamma numbers.

From the continuity of addition in its right argument, we get that if $\beta < \alpha$ and α is additively indecomposable, then $\beta + \alpha = \alpha.$

单词	Indecomposable ordinal
释义	Indecomposable ordinal 英语百科 Additively indecomposable ordinal In set theory, a branch of mathematics, an additively indecomposable ordinal α is any ordinal number that is not 0 such that for any $\beta,\gamma<\alpha$ , we have $\beta+\gamma<\alpha.$ Additively indecomposable ordinals are also called gamma numbers. From the continuity of addition in its right argument, we get that if $\beta < \alpha$ and α is additively indecomposable, then $\beta + \alpha = \alpha.$
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Indecomposable ordinal

Additively indecomposable ordinal