J. H. Maclagan Wedderburn (1908), Proceedings of the London Mathematical Society s2-6(1):77–118 — DOI-10.1112/plms/s2-6.1.77

Standing in the record

Registered on 2026-09-29 at the owner’s request, because the owner’s prior-art novelty map (a private working document on concepts as projectors, the linear representation hypothesis and their neighbours) cites it: row 6: the algebra → centre / isotypic-block machinery behind “types = Z(𝒜)”. It is seeded from metadata and published descriptions and has not been read here. Only the year of first publication is known; published: uses 1 January.

The map names this reference only loosely; this entry is one reasonable reading of it, and the choice is the owner’s to revise.

Identification notes: Theorem name, two primaries. Registered both Wedderburn 1908 and Artin 1927; the owner may prefer only one.

It was filed Deferred, unread. NOTE-280 is the close reading of 2026-09-29, and it placed the work: Active — worth reading as the primary source of the Wedderburn structure theorem over an arbitrary field, and of the matrix-unit argument (Thm 21) still used today. The notation of “complexes” and ”<” is dated. For the modern ring-theoretic form (Artinian semisimple rings ≅ Π M_{n_i}(D_i)), Artin 1927 (LIT-331, unread) or any algebra text supersedes it.