# A correction of the decomposability result in a paper by Meyer-Neutsch

@inproceedings{Tkachev2018ACO, title={A correction of the decomposability result in a paper by Meyer-Neutsch}, author={Vladimir Gennad'evich Tkachev}, year={2018} }

- Published 2018
DOI:10.1016/j.jalgebra.2018.02.031

In this short note, it is shown that there is a gap in the proof of Theorem 11 in the paper of Meyer and Neutsch (J. of Algebra, 1993). We prove, nevertheless, that the statement of the theorem is true and fix the proof by using a certain extremal property of idempotents which has an independent interest.

#### Citations

##### Publications citing this paper.

SHOWING 1-6 OF 6 CITATIONS

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VIEW 2 EXCERPTS

CITES BACKGROUND

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VIEW 2 EXCERPTS

CITES BACKGROUND

## V.M. Miklyukov: from Dimension 8 to Nonassociative Algebras

VIEW 2 EXCERPTS

CITES BACKGROUND

## Advances in Applied Clifford Algebras Idempotent Geometry in Generic Algebras

VIEW 1 EXCERPT

CITES BACKGROUND

## On an extremal property of Jordan algebras of Clifford type

VIEW 1 EXCERPT

CITES BACKGROUND

## The universality of one half in commutative nonassociative algebras with identities

VIEW 3 EXCERPTS

CITES BACKGROUND

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 10 REFERENCES

## Associative Subalgebras of the Griess Algebra

VIEW 9 EXCERPTS

HIGHLY INFLUENTIAL

## Griess Algebras and Conformal Vectors in Vertex Operator Algebras

VIEW 3 EXCERPTS

HIGHLY INFLUENTIAL

## Tignol. The book of involutions, volume 44 of American Mathematical Society Colloquium Publications

VIEW 1 EXCERPT

## An introduction to nonassociative algebras

VIEW 1 EXCERPT