A note on indecomposable elements in the tensor product of semigroups
Jana Galanová (1985)
Mathematica Slovaca
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Jana Galanová (1985)
Mathematica Slovaca
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Jana Galanová (1985)
Mathematica Slovaca
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Abdullah Zejnullahu (1989)
Acta Universitatis Carolinae. Mathematica et Physica
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Torben Maack Bisgaard (2001)
Collectanea Mathematica
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Semiperfect semigroups are abelian involution semigroups on which every positive semidefinite function admits a disintegration as an integral of hermitian multiplicative functions. Famous early instances are the group on integers (Herglotz Theorem) and the semigroup of nonnegative integers (Hamburger's Theorem). In the present paper, semiperfect semigroups are characterized within a certain class of semigroups. The paper ends with a necessary condition for the semiperfectness of a finitely...