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ON NEAR-RING IDEMPOTENTS AND POLYNOMIALS ON DIRECT PRODUCTS OF Ω-GROUPS

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Publication:2747928
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DOI10.1017/S0013091599001418zbMath0984.16040MaRDI QIDQ2747928

Erhard Aichinger

Publication date: 5 May 2002

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)


zbMATH Keywords

polynomial functionslattices of ideals\(\Omega\)-groupssubcoversDCC on left idealsdirect products of idealsinner automorphism near-ringsjoin irreducible idealsright zero-symmetric near-ringsskew congruencestame \(N\)-groups


Mathematics Subject Classification ID

Near-rings (16Y30) Operations and polynomials in algebraic structures, primal algebras (08A40) Ideals in associative algebras (16D25) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)


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ON THE MAXIMAL IDEALS OF NON-ZERO-SYMMETRIC NEAR-RINGS AND OF COMPOSITION ALGEBRAS OF POLYNOMIAL FUNCTIONS ON Ω-GROUPS ⋮ Independence of algebras with edge term ⋮ Polynomial clones on groups of order \(pq\) ⋮ Polynomial interpolation in expanded groups. ⋮ Polynomial functions on subdirect products ⋮ The near-ring of congruence-preserving functions on an expanded group.



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