ON THE MAXIMAL IDEALS OF NON-ZERO-SYMMETRIC NEAR-RINGS AND OF COMPOSITION ALGEBRAS OF POLYNOMIAL FUNCTIONS ON Ω-GROUPS

DOI10.1080/16073606.2001.9639233zbMath0997.16034OpenAlexW2062131393MaRDI QIDQ4531644

Erhard Aichinger

Publication date: 14 November 2002

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: http://www.ajol.info/viewissue.php?jid=125&id=673&ab=0

zbMATH Keywords

congruencesmaximal idealsBrown-McCoy radical\(n\)-ary operationscomposition algebrasnilpotencyNoetherian quotientsfull ideals\(\Omega\)-groupscommutator polynomialsnear-rings of polynomial functionsnon-zero-symmetric near-rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Near-rings (16Y30) Subalgebras, congruence relations (08A30) Operations and polynomials in algebraic structures, primal algebras (08A40) Ideals in associative algebras (16D25) (n)-ary systems ((nge 3)) (20N15)

Related Items (4)

Compatible extensions of nearrings. ⋮ Polynomial clones on groups of order \(pq\) ⋮ SONATA ⋮ The near-ring of congruence-preserving functions on an expanded group.

Uses Software

• GAP

Cites Work

• Composition rings
• ON NEAR-RING IDEMPOTENTS AND POLYNOMIALS ON DIRECT PRODUCTS OF Ω-GROUPS
• Near-rings of polynomials over groups
• Tame near-rings and N-groups
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