preprint · arXiv (Cornell University) · 2023

Families of local involutive integral residuated lattice-ordered commutative monoids admitting Boolean term

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Abstract

We present a family of local involutive integral bounded residuated lattice-ordered commutative monoids (involutive residuated lattices, for short) having Boolean term, radical term (see \cite{CT12} and \cite{T23}), and satisfying GAP (Generalized Appel property) (see \cite{T23}).The construction of this family is based in the examples given in \cite[Subsection 5.1]{CT12}, by taking $\bfm{\LLn}$ in place of $\bfm{L_{n+1}}$ and $\bfm{L_{p+1}}$ in place of the two element Boolean algebra. In some sense this paper is a companion of the paper \cite{T23}, in which the General Apple Property (GAP) and Boolean terms are studied.

Cite this paper

APA 7

Torrens, A. (2023). Families of local involutive integral residuated lattice-ordered commutative monoids admitting Boolean term. arXiv (Cornell University). https://doi.org/10.48550/arxiv.2312.13255

MLA 9

Torrens, Antoni. “Families of local involutive integral residuated lattice-ordered commutative monoids admitting Boolean term.” arXiv (Cornell University), 2023, https://doi.org/10.48550/arxiv.2312.13255.

Chicago

Torrens, Antoni. 2023. “Families of local involutive integral residuated lattice-ordered commutative monoids admitting Boolean term.” arXiv (Cornell University). https://doi.org/10.48550/arxiv.2312.13255.

Harvard

Torrens, A. (2023) ‘Families of local involutive integral residuated lattice-ordered commutative monoids admitting Boolean term’, arXiv (Cornell University). Available at: https://doi.org/10.48550/arxiv.2312.13255.

BibTeX

@misc{torrens2023families,
  title = {{Families of local involutive integral residuated lattice-ordered commutative monoids admitting Boolean term}},
  author = {Torrens, Antoni},
  journal = {arXiv (Cornell University)},
  year = {2023},
  doi = {10.48550/arxiv.2312.13255}
}

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