Nilpotent elements in medial semigroups

In: Mathematica Slovaca, vol. 69, no. 5

Roman S. Gigoň

Detaily:

Rok, strany: 2019, 1033 - 1036

Kľúčové slová:

nilpotent element, medial semigroup, permutation identity, archimedean semigroup, nil-semigroup, prime ideal, semiprime ideal

DOI: https://doi.org/10.1515/ms-2017-0287

O článku:

We show without the Kuratowski-Zorn lemma that the set of all nilpotent elements of a medial semigroup (with zero) is the set-theoretic intersection of all its prime ideals. Moreover, some applications of the above theorem are given.

Ako citovať:

ISO 690:

Gigoň, R. 2019. Nilpotent elements in medial semigroups. In Mathematica Slovaca, vol. 69, no.5, pp. 1033-1036. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0287

APA:

Gigoň, R. (2019). Nilpotent elements in medial semigroups. Mathematica Slovaca, 69(5), 1033-1036. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0287

O vydaní:

Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava

Publikované: 5. 10. 2019