In: Mathematica Slovaca, vol. 69, no. 5
Roman S. Gigoň
Details:
Year, pages: 2019, 1033 - 1036
Keywords:
nilpotent element, medial semigroup, permutation identity, archimedean semigroup, nil-semigroup, prime ideal, semiprime ideal
About article:
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.
How to cite:
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
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 5. 10. 2019