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| Wedderburn–Malcev decomposition of one-sided ideals of finite dimensional algebras | |
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| Type: | |
| General Speciality: | |
| Alexander Baranov | Author Name: |
| Andrey Mudrov and Hasan Shlaka | Co Authors Names: |
| Communications in Algebra | Publisher Name: |
| .Nomber 46, Issue 8, pages 3605-3607 | |
| 2018 | Publication Year: |
Abstract Let A be a finite dimensional associative algebra over a perfect field and let R be the radical of A. We show that for every one-sided ideal I of A there exists a semisimple subalgebra S of A such that I=IS⊕IR where IS = I∩S and IR = I∩R. |
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