Erhard Aichinger,
"On the maximal ideals of non-zero-symmetric near-rings and of composition algebras of polynomial functions on {$\Omega$}-groups."
, in Quaestiones Mathematicae , 2001, ISSN: 1607-3606, Erhard Aichinger, On the maximal ideals of non-zero-symmetric near-rings and of composition algebras of polynomial functions on {$\Omega$}-groups, Quaestiones Mathematicae 24 (2001), pp. 453-480.
Original Titel:
On the maximal ideals of non-zero-symmetric near-rings and of composition algebras of polynomial functions on {$\Omega$}-groups.
Sprache des Titels:
Englisch
Original Kurzfassung:
Let $G$ be a finite group, and let $\algop{P(G)}{+,\circ}$ be the
near-ring of all polynomial functions on $G$.
We describe the maximal ideals of this
near-ring.
Our approach also allows to determine the maximal congruences
of the composition algebra of polynomial functions on
a finite $\Omega$-group. We apply these results to
find the maximal ideals of a finite near-ring with $1$ that
is faithful on its constants.
In some occasions,
the intersection of the maximal ideals yields an
ideal that has properties that are similar to nilpotency.
Sprache der Kurzfassung:
Englisch
Journal:
Quaestiones Mathematicae
Erscheinungsjahr:
2001
Notiz zum Zitat:
Erhard Aichinger, On the maximal ideals of non-zero-symmetric near-rings and of composition algebras of polynomial functions on {$\Omega$}-groups, Quaestiones Mathematicae 24 (2001), pp. 453-480.
Forschungs-