Displaying similar documents to “From Bi-ideals to Periodicity”

On the height of order ideals

Gábor Czédli, Miklós Maróti (2010)

Mathematica Bohemica

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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.