I. Chajda

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20242026

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math.RA2026

Lattices and semilattices derived from commutative rings of characteristic 2 satisfying the identity $x^{2^{n}} \approx x$

Ivan Chajda, Miroslav Kolařík, Helmut Länger

We prove that a commutative ring $R = (R, +, \cdot)$ of characteristic $2$ satisfying the identity $x^{2^{n}} \approx x$ together with the binary relation $\leq$ on $R$ defined by…

math.RA2026

Varieties and quasivarieties of lattices with complementation

V. Cenker, I. Chajda, J. Kühr +1

We investigate (quasi)varieties of lattices with complementation, i.e., complemented lattices equipped with a fixed complementation as a unary operation. We focus on subclasses sat…

Lattices and semilattices derived from commutative rings of characteristic 2 satisfying the identity x2n≈x

Varieties and quasivarieties of lattices with complementation

Lattices and semilattices derived from commutative rings of characteristic 2 satisfying the identity $x^{2^{n}} \approx x$