Algebras generated by two idempotents. (English) Zbl 0459.16010
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.) |
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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