Injectives in the variety generated by a finite subdirectly irreducible Heyting algebra with involution

Slava Meskhi

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arXiv · 1201.2509

Injectives in the variety generated by a finite subdirectly irreducible Heyting algebra with involution

Slava Meskhi

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Abstract

We prove that any finite subdirectly irreducible Heyting algebra with involution is quasi-primal, and that injective algebras in the variety generated by a finite subdirectly irreducible Heyting algebra are precisely diagonal subalgebras of some direct power of this algebra, which are complete as lattices.

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BibTeX RIS

Slava Meskhi. 2012-01-12. Injectives in the variety generated by a finite subdirectly irreducible Heyting algebra with involution. https://arxiv.org/abs/1201.2509

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