Mathematician:Reinhold Baer

Mathematician

German mathematician known for his work in algebra.

Introduced the concept of an injective module in $1940$.

Nationality

German

History

• Born: 22 July 1902 in Berlin, Germany
• Died: 22 October 1979 in Zurich, Switzerland

Theorems and Definitions

• Baer Group
• Baer Ring
• Baer-Specker Group (with Ernst Paul Specker)

• Baer's Criterion
• Baer-Suzuki Theorem (with Michio Suzuki)

Results named for Reinhold Baer can be found here.

Definitions of concepts named for Reinhold Baer can be found here.

Publications

• 1934: Erweiterung von Gruppen und ihren Isomorphismen (Math. Z. Vol. 38: pp. 375 – 416)
• 1937: Abelian groups without elements of finite order (Duke Math. J. Vol. 3: pp. 68 – 122)
• 1940: Nilpotent groups and their generalizations (Trans. Amer. Math. Soc. Vol. 47: pp. 393 – 434)
• 1944: The higher commutator subgroups of a group (Bull. Amer. Math. Soc. Vol. 50: pp. 143 – 160)
• 1945: Representations of groups as quotient groups. II. Minimal central chains of a group (Trans. Amer. Math. Soc. Vol. 58: pp. 348 – 389)
• 1945: Representations of groups as quotient groups. III. Invariants of classes of related representations (Trans. Amer. Math. Soc. Vol. 58: pp. 390 – 419)
• 1957: Engelsche Elemente Noetherscher Gruppen (Math. Ann. Vol. 133: pp. 256 – 270)

Sources

• John J. O'Connor and Edmund F. Robertson: "Reinhold Baer": MacTutor History of Mathematics archive