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Laffey, Thomas J.

Algebras generated by two idempotents. (English) Zbl 0459.16010

Linear Algebra Appl. 37, 45-53 (1981).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0459.16010

Cited in 3 Reviews
Cited in 13 Documents

MSC:

16U99 Conditions on elements
16D70 Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras)
16P10 Finite rings and finite-dimensional associative algebras
16S50 Endomorphism rings; matrix rings
16Kxx Division rings and semisimple Artin rings
15B33 Matrices over special rings (quaternions, finite fields, etc.)

Keywords:

simple algebra generated by idempotents; finite dimensional division algebra
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References:

[1] Amitsur, S. A., Invariant submodules of simple rings, Proc. Amer. Math. Soc., 7, 987-989 (1958) · Zbl 0077.25803
[2] Herstein, I. N., Topics in Ring Theory, Univ. of Chicago Mathematical Lecture Notes (1965) · Zbl 0199.07702
[3] Jacobson, N., The Structure of Rings, Amer. Math. Soc. Colloquium Publ., XXXVII (1964) · Zbl 0121.27601
[4] Wales, D. B., Connections between finite linear groups and linear algebra, Linear and Multilinear Algebra, 7, 267-280 (1979) · Zbl 0481.20009
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