Logics that are generated by idempotents.
Katrnos̆ka, Frantis̆ek (2004)
Lobachevskii Journal of Mathematics
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Katrnos̆ka, Frantis̆ek (2004)
Lobachevskii Journal of Mathematics
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María Ivonne Arenas-Herrera, Luis Verde-Star (2017)
Special Matrices
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We present a new way to deal with doubly infinite lower Hessenberg matrices based on the representation of the matrices as the sum of their diagonal submatrices. We show that such representation is a simple and useful tool for computation purposes and also to obtain general properties of the matrices related with inversion, similarity, commutativity, and Pincherle derivatives. The diagonal representation allows us to consider the ring of doubly infinite lower Hessenberg matrices over...
Hiroshi Niitsuma (1990)
Banach Center Publications
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Paul M. Cohn (1966)
Publications Mathématiques de l'IHÉS
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Noboru Endou, Kazuhisa Nakasho, Yasunari Shidama (2015)
Formalized Mathematics
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In this article, semiring and semialgebra of sets are formalized so as to construct a measure of a given set in the next step. Although a semiring of sets has already been formalized in [13], that is, strictly speaking, a definition of a quasi semiring of sets suggested in the last few decades [15]. We adopt a classical definition of a semiring of sets here to avoid such a confusion. Ring of sets and algebra of sets have been formalized as non empty preboolean set [23] and field of subsets...
Vlastimil Dlab (1962)
Czechoslovak Mathematical Journal
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Szigeti, Jeno (2006)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 15A15, 15A24, 15A33, 16S50. For an n×n matrix A over an arbitrary unitary ring R, we obtain the following Cayley-Hamilton identity with right matrix coefficients: (λ0I+C0)+A(λ1I+C1)+… +An-1(λn-1I+Cn-1)+An (n!I+Cn) = 0, where λ0+λ1x+…+λn-1 xn-1+n!xn is the right characteristic polynomial of A in R[x], I ∈ Mn(R) is the identity matrix and the entries of the n×n matrices Ci, 0 ≤ i ≤ n are in [R,R]. If R is commutative, then C0 = C1 =...
Robert Gilmer, William Heinzer (1994)
Manuscripta mathematica
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Putcha, Mohan.S., Yaqub, Adil (1979)
International Journal of Mathematics and Mathematical Sciences
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Bo Stenström (1974)
Mathematica Scandinavica
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Al-Ezeh, H. (1988)
International Journal of Mathematics and Mathematical Sciences
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Herstein, I.N. (1954)
Portugaliae mathematica
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