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www.jstor.org/stable/2371246
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of a square matrix A are two matrices, the principal idempotent and nilpotenit elements. These two matrices are polynomials in A and are uniquely de- termined ...
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www.jstor.org/stable/1969210
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proof of the principal theorem to the case where 2a - 9 is simple. If e is a principal idempotent of a Jordan algebra 2a then W- = e2te + Qe +. (se) where e is the ...
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faculty.kfupm.edu.sa/MATH/jaafarm/lec-notes/Moore-Pinro...
faculty.kfupm.edu.sa/MATH/jaafarm/lec-notes/Moore-Pinrose.pdf
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for the principal idempotent elements of a matrix. Also a new type of spectral decom- position is given. In another paper its application to substitutional equations ...
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books.google.com/books/about/Structure_of_algebras.html...
books.google.com/books/about/Structure_of_algebras.html?id=LQX_Celo0PUC
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The existence of an idempotent. 23. Properly nilpotent quantities. 24. Principal idempotents. 25. Primitive idempotents. 26. Difference algebras. 27. Direct sums ...
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linkinghub.elsevier.com/retrieve/pii/0030401877902929
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Degree of polarization and the principal idempotents of the coherency matrix. Richard Barakat a , b. a Division of Engineering and Applied Physics, Harvard ...
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crazyproject.wordpress.com/2011/10/05/exhibit-the-idemp...
crazyproject.wordpress.com/2011/10/05/exhibit-the-idempotents-and-principal-ideals-in-a-given-semigroup/
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Oct 5, 2011 ... and (1, a \wedge b) if s \neq t . Show that (S,\star) is a semigroup and exhibit all of its idempotents and principal ideals. Does S have a kernel?
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www.tricki.org/article/How_to_use_ultrafilters
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which is true if and only if X\in\mathcal{U}+(\mathcal{V}+ . And now, a non-trivial but very useful fact is that there exist non-principal idempotent ultrafilters: that is, ...
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link.aip.org/link/?JMAPAQ/2/776/1
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only if B commutes with every principal idempotent of A. The proof is brief, simplifying much of the previous study of k-commutative matrices. The result is also ...
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www.ams.org/bull/1939-45-06/S0002-9904-1939-07017-1/S00...
www.ams.org/bull/1939-45-06/S0002-9904-1939-07017-1/S0002-9904-1939-07017-1.pdf
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ing the principal idempotent elements of M. The second paper con- sidered only ... Since each principal idempotent element of If is a set of one or more of its ...
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www.sciencedirect.com/science/article/pii/S002437959600...
www.sciencedirect.com/science/article/pii/S0024379596002030
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Let R be a commutative principal ideal domain, T: Mn(R) → Mm(R) an R-linear map which preserves idempotence. We determine the forms of T when n ≥ m ...
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