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φ−Hilfer Fractional Cauchy Problems with Almost Sectorial and Lie Bracket Operators in Banach Algebras

open access: yesFractal and Fractional
In the theory of Banach algebras, we use the Schauder fixed-point theorem to obtain some results that concern the existence property for mild solutions of fractional Cauchy problems that involve the Lie bracket operator, the almost sectorial operator ...
Faten H. Damag   +2 more
doaj   +1 more source

Cellular algebras and inverse semigroups

open access: yesJournal of Algebra, 2006
Let \(A\) be a commutative unital ring. It is shown that the semigroup ring \(A[S]\) of a finite inverse semigroup \(S\) is a cellular \(A\)-algebra in the sense of \textit{J. J. Graham} and \textit{G. I. Lehrer} [Invent. Math. 123, No. 1, 1-34 (1996; Zbl 0853.20029)] if every group ring \(A[G]\) of a maximal subgroup \(G\) of \(S\) is cellular and if ...
openaire   +2 more sources

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