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Structure-conserving spontaneous transformations between nanoparticles. [PDF]
Nat Commun, 2016 Krishnadas KR +4 more
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ON A WEDDERBURN-ARTIN STRUCTURE THEORY OF A POTENT SEMIRING. [PDF]
Proc Natl Acad Sci U S A, 1957 Bourne S, Zassenhaus H.
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AN EXTENSION OF THE MAXWELL THEORY. [PDF]
Proc Natl Acad Sci U S A, 1955 Ingraham RL.
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The Jacobson Radical of a Semiring. [PDF]
Proc Natl Acad Sci U S A, 1951 Bourne S.
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ON THE USE OF ABSTRACT ALGEBRA AS A METHOD FOR OBTAINING RESULTS INVOLVING RATIONAL INTEGERS ONLY AND THE REVERSE OF THIS PROCEDURE. [PDF]
Proc Natl Acad Sci U S A, 1960 Vandiver HS.
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Bideterminants, arborescences and extension of the Matrix-Tree theorem to semirings
Discrete Mathematics, 1997 An analogue of the matrix-tree theorem that relates the minors of a square real matrix to the rooted directed trees in the associated graph is proved for matrices over commutative semirings.
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Derivations of matrix semirings
Journal of Algebra and Its Applications, 2020It is well known that if [Formula: see text] is a derivation in semiring [Formula: see text], then in the semiring [Formula: see text] of [Formula: see text] matrices over [Formula: see text], the map [Formula: see text] such that [Formula: see text] for any matrix [Formula: see text] is a derivation.
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