[in Journal: Algebra Colloquium] AND [Keyword: Conjugate] : Search

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articleNo Access
On the Semigroup of Square Matrices
- Ganna Kudryavtseva and
- Volodymyr Mazorchuk
Algebra Colloquium01 Mar 2008
Preview Abstract
We study the structure of nilpotent subsemigroups in the semigroup M(n,𝔽) of all n×n matrices over a field 𝔽 with respect to the operation of the usual matrix multiplication. We describe the maximal subsemigroups among the nilpotent subsemigroups of a fixed nilpotency degree and classify them up to isomorphism. We also describe isolated and completely isolated subsemigroups and conjugated elements in M(n,𝔽).
articleNo Access
The Solution Set to the Quaternion Matrix Equation
- Lianggui Feng and
- Wei Cheng
Algebra Colloquium01 Mar 2012
Preview Abstract
We give a clear description of the solution set to the quaternion matrix equation , where A, B are known, X is unknown and denotes the usual conjugate of X.

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