Projectivity and linkage for completely join irreducible ideals of an expanded group

DOI10.1007/S00012-019-0623-3zbMath1446.16046OpenAlexW2984601469WikidataQ126800641 ScholiaQ126800641MaRDI QIDQ2009227

Stuart D. Scott, Gary L. Peterson

Publication date: 27 November 2019

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00012-019-0623-3

zbMATH Keywords

projectivitylinkageexpanded groupnearringcongruence preserving functionscompletely join irreducibletame module

Mathematics Subject Classification ID

Near-rings (16Y30) Lattice ideals, congruence relations (06B10) Operations and polynomials in algebraic structures, primal algebras (08A40)

Related Items (3)

Series and 1-affine completeness ⋮ Centralizers and isomorphism preservation of minimal factors of nearring modules ⋮ Solvability and nilpotency of expanded groups relative to the nearring of zero and congruence preserving functions

Cites Work

• 1-affine completeness of compatible modules
• Finite generation of congruence preserving functions
• Compatible extensions of nearrings.
• The near-ring of congruence-preserving functions on an expanded group.
• Erratum to: ``1-affine completeness of compatible modules
• Units of compatible nearrings. II.
• Finiteness of the nearring of congruence preserving and 0-preserving functions of an expanded group
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