Prime ideals in universal algebras
Aldo Ursini (1984)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “From Bi-ideals to Periodicity”
Prime ideals in universal algebras
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We maximize the total height of order ideals in direct products of finitely many finite chains. We also consider several order ideals simultaneously. As a corollary, a shifting property of some integer sequences, including digit sum sequences, is derived.
The Jordan-Hölder theorem for semirings.
Francisco Poyatos (1980)
Revista Matemática Hispanoamericana
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The object of this paper is to prove the Green and Jordan-Hölder theorems in semirings. We follow Rees [11], Green [5], Clifford and Preston [2]. This work is similar to [7] and generalizes [8] and [9]. Although some proofs are parallel to those for semigroups, we explain them here to obtain a complete and self-contained exposition.