Compatible extensions of nearrings.

DOI10.1007/s00605-009-0139-6zbMath1211.16041OpenAlexW2041577857MaRDI QIDQ604814

Gary L. Peterson

Publication date: 12 November 2010

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-009-0139-6

zbMATH Keywords

polynomial functions1-affine complete nearring modulescompatible extensionsexpanded groupsnearrings

Mathematics Subject Classification ID

Near-rings (16Y30) Operations and polynomials in algebraic structures, primal algebras (08A40)

Related Items (8)

1-affine completeness of compatible modules ⋮ Series and 1-affine completeness ⋮ Finiteness of the nearring of congruence preserving and 0-preserving functions of an expanded group ⋮ Units of compatible nearrings. ⋮ Units of compatible nearrings. IV. ⋮ Centralizers and isomorphism preservation of minimal factors of nearring modules ⋮ Projectivity and linkage for completely join irreducible ideals of an expanded group ⋮ Congruence preserving expansions of nilpotent algebras

Uses Software

• SONATA

Cites Work

• The near-ring of congruence-preserving functions on an expanded group.
• Polynomial interpolation in expanded groups.
• N-series and tame near-rings
• Tame near-rings and N-groups
• ON THE MAXIMAL IDEALS OF NON-ZERO-SYMMETRIC NEAR-RINGS AND OF COMPOSITION ALGEBRAS OF POLYNOMIAL FUNCTIONS ON Ω-GROUPS
• The Idempotent Quiver of a Nearring
• A BOUND ON THE NUMBER OF UNARY POLYNOMIAL FUNCTIONS AND A DECIDABILITY RESULT FOR NEAR-RINGS
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