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Identities common to four Abelian group operations with zero

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Publication:1074611
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DOI10.1007/BF01187552zbMath0591.08003MaRDI QIDQ1074611

R. Padmanabhan, David Kelly

Publication date: 1985

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


zbMATH Keywords

varietiesabelian groupgroupoidsfinite bases of identitiesderived binary operations


Mathematics Subject Classification ID

Loops, quasigroups (20N05) Operations and polynomials in algebraic structures, primal algebras (08A40) Varieties (08B99) Abelian groups (20K99)


Related Items

Medial groupoid varieties defined by finite cyclic groups, Medial groupoid varieties defined by infinite cyclic groups



Cites Work

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  • New decision algorithms for finitely presented commutative semigroups
  • On convex linear forms
  • Symmetric difference in Abelian groups
  • Residual finiteness of finitely generated commutative semigroups
  • On the Foundations of Quasigroups
  • The Logic of Equality
  • Some Connections between Residual Finiteness, Finite Embeddability and the Word Problem
  • Shorter Notes: Redei's Finiteness Theorem for Commutative Semigroups
  • On a Theorem of Malcev
  • Ein Beitrag zur Axiomatik der Abelschen Gruppen
  • Structure of Abelian Quasi-Groups
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