Bourbaki

Corollary

Tag 00PB, permanent. Cite it as [Bourbaki, Tag 00PB].

Algebra, VIII, p. 438, Appendix 1. Algebras without Unit Element

The regular left ideals of A are the ideals of the form A∩a~A\cap \widetilde{\mathfrak{a}}, where a~\widetilde{\mathfrak{a}} is a left ideal of A~\widetilde{A} such that A~=a~+A\widetilde{A} =\widetilde{\mathfrak{a}}+ A.

Bourbaki sets the proof directly after the statement, and the corpus does not separate them, so what is above is the statement and its proof together.

Cited by

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Cites

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Transcribed from the printed edition, 2023, Springer Nature. Not translated.