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Anh, P. N.; Marki, L.

Rees matrix rings. (English) Zbl 0525.16011

J. Algebra 81, 340-369 (1983).
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Cited in 1 Review
Cited in 15 Documents

MSC:

16S50 Endomorphism rings; matrix rings
16E50 von Neumann regular rings and generalizations (associative algebraic aspects)
20M20 Semigroups of transformations, relations, partitions, etc.

Keywords:

Rees matrix ring; sandwich matrix; idempotent; direct sum; regular ring; rings of continuous module endomorphisms
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Full Text: DOI

References:

[1] Ánh, P. N., On Litoffs theorem, Studio Sci. Math. Hungar, 16 (1981), to appear · Zbl 0518.16002
[2] Gluskin, L. M., Semigroups and rings of endomorphisms of linear spaces, Izv. Akad. Nauk SSSR, 23, 841-870 (1959), (in Russian) · Zbl 0090.32801
[3] Hotzel, E., On simple rings with minimal one-sided ideals, unpublished, Notices Amer. Math. Soc., 17, 238 (1970), Abstract:
[4] Hotzel, E., Dual \(D\)-operands and the Rees theorem, (Algebraic Theory of Semigroups Proceedings, Conference. Algebraic Theory of Semigroups Proceedings, Conference, Szeged, 1976. Algebraic Theory of Semigroups Proceedings, Conference. Algebraic Theory of Semigroups Proceedings, Conference, Szeged, 1976, Colloq. Math. Soc. J. Bolyai No. 20 (1979), North-Holland: North-Holland Amsterdam), 247-275 · Zbl 0409.20046
[5] Jacobson, N., Structure of Rings, (Colloquium Publication No. 37 (1956), Amer. Math. Soc: Amer. Math. Soc Providence) · JFM 65.1131.01
[6] Kasch, F., Moduln und Ringe (1977), Teubner: Teubner Stuttgart · Zbl 0343.16001
[7] Munn, W. D., On semigroup algebras, (Proc. Cambridge Philos. Soc., 51 (1955)), 1-15 · Zbl 0064.02001
[8] von Neumann, J., On regular rings, (Proc. Nat. Acad. Sci. USA, 22 (1936)), 707-713 · Zbl 0015.38802
[9] Petrich, M., The translational hull in semigroups and rings, (Semigroup Forum, 1 (1970)), 283-360 · Zbl 0209.04902
[10] Petrich, M., Rings and Semigroups, (Lecture Notes in Mathematics No. 380 (1974), Springer-Verlag: Springer-Verlag Berlin/Heidelberg/New York) · Zbl 0209.04902
[11] Steinfeld, O., Quasi-ideals in Rings and Semigroups (1978), Akadémiai Kiadó: Akadémiai Kiadó Budapest · Zbl 0396.20044
[12] Tiên, T. Q., Investigations in the Theory of Rees Matrix Semigroups and Rees Matrix rings, (Thesis (1975), Hungarian Academy of Sciences: Hungarian Academy of Sciences Budapest), (in Hungarian)
[13] Tên, T. Q.; Lee, A., On a class of regular rings, Mat. Lapok, 25, 119-127 (1974), (in Hungarian) · Zbl 0358.16009
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