Erhard Aichinger,
"On near-ring idempotents and polynomial functions on direct products of Omega-groups"
, 2001, ISBN: 0013-0915, Erhard Aichinger, On near-ring idempotents and polynomial functions on direct products of Omega-groups, Proceedings of the Edinburgh Mathematical Society (2001) 44, 379 - 388.
Original Titel:
On near-ring idempotents and polynomial functions on direct products of Omega-groups
Sprache des Titels:
Englisch
Original Kurzfassung:
Let $N$ be a zero-symmetric near-ring with identity, and
let $\Gamma$ be a faithful tame $N$-group.
We characterize those ideals of $\Gamma$ that are the
range of some idempotent element of $N$.
Using these idempotents, we show that the polynomials
on the direct product of the finite $\Omega$-groups
$V_1, V_2, \ldots, V_n$ can be studied componentwise
if and only if $\prod_{i=1}^n V_i$ has no skew congruences.
Sprache der Kurzfassung:
Englisch
Englischer Titel:
On near-ring idempotents and polynomial functions on direct products of Omega-groups
Englische Kurzfassung:
We characterize those ideals of $\Gamma$ that are the
range of some idempotent element of $N$.
Using these idempotents, we show that the polynomials
on the direct product of the finite $\Omega$-groups
$V_1, V_2, \ldots, V_n$ can be studied componentwise
if and only if $\prod_{i=1}^n V_i$ has no skew congruences.
Erscheinungsjahr:
2001
Notiz zum Zitat:
Erhard Aichinger, On near-ring idempotents and polynomial functions on direct products of Omega-groups, Proceedings of the Edinburgh Mathematical Society (2001) 44, 379 - 388.
Forschungs-