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algebra universalis

, Volume 37, Issue 3, pp 296–333 | Cite as

On subtractive varieties III: From ideals to congruences

  • P. Agliano
  • A. Ursini

Abstract.

As a sequel to [2] and [15] we investigate ideal properties focusing on subtractive varieties. Here we probe the relations between congruences and ideals in subtractive varieties, in order to give some means to recover the congruence structure from the ideal structure. To do so we consider mainly two operators from the ideal lattice to the congruence lattice of a given algebra and we classify subtractive varieties according to various properties of these operators. In the last section several examples are discussed in details.

Keywords

Ideal Structure Ideal Property Congruence Lattice Ideal Lattice Congruence Structure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag Basel, 1997

Authors and Affiliations

  • P. Agliano
    • 1
  • A. Ursini
    • 2
  1. 1.Dipartimento di Matematica, Università di Siena, Via del Capitano 15, I-53100 Siena, Italy. E-mail: agliano@unisi.itIT
  2. 2.Dipartimento di Matematica, Università di Siena, Via del Capitano 15, I-53100 Siena, Italy. E-mail: ursini@unisi.itIT

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