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pro vyhledávání: '"Van Wyk L"'
Publikováno v:
In Linear Algebra and Its Applications 1 May 2024 688:157-178
Akademický článek
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Publikováno v:
Communications in Algebra 46(2) (2018), 467-479
Let $A$ be a set and $f:A\rightarrow A$ a bijective function. Necessary and sufficient conditions on $f$ are determined which makes it possible to endow $A$ with a binary operation $*$ such that $(A,*)$ is a cyclic group and $f\in \mbox{Aut}(A)$. Thi
Externí odkaz:
http://arxiv.org/abs/1810.07533
Idempotents dominate the structure theory of rings. The Peirce decomposition induced by an idempotent provides a natural environment for defining and classifying new types of rings. This point of view offers a way to unify and to expand the classical
Externí odkaz:
http://arxiv.org/abs/1702.05261
Publikováno v:
African Journal of Thoracic & Critcal Care Medicine; Sep2024, Vol. 30 Issue 3, p107-112, 6p
Akademický článek
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The main result of this paper is the following: if F is any field and R is any F-subalgebra of the algebra of nxn matrices over F with Lie nilpotence index m, then the F-dimension of R is less or equal than M(m+1,n), where M(m+1,n) is the maximum of
Externí odkaz:
http://arxiv.org/abs/1608.04562
We study a ring containing a complete set of orthogonal idempotents as a generalized matrix ring via its Peirce decomposition. We focus on the case where some of the underlying bimodule homomorphisms are zero. Upper and lower triangular generalized m
Externí odkaz:
http://arxiv.org/abs/1507.06290
Autor:
Szigeti, J., van Wyk, L.
One of the aims of this paper is to provide a short survey on the Z2-graded, the symmetric and the left (right) generalizations of the classical determinant theory for square matrices with entries in an arbitrary (possibly non-commutative) ring. This
Externí odkaz:
http://arxiv.org/abs/1210.5061
Autor:
Anh, P. N., van Wyk, L.
We describe isomorphisms between strongly triangular matrix rings that were defined earlier in Berkenmeier et al. (2000) as ones having a complete set of triangulating idempotents, and we show that the so-called triangulating idempotents behave analo
Externí odkaz:
http://arxiv.org/abs/1210.4675