3 papers
math.RA2019
Semimodules over commutative semirings and modules over unitary commutative rings
Ivan Chajda, Helmut Länger
We study the so-called closed and splitting subsemimodules and submodules of a given semimodule or module, respectively. We describe lattices of subsemimodules and of closed subsem…
math.RA2019
Sectionally pseudocomplemented posets
Ivan Chajda, Helmut Länger, Jan Paseka
The concept of a sectionally pseudocomplemented lattice was introduced by I. Chajda as an extension of relative pseudocomplementation for not necessarily distributive lattices. The…
math.LO2019
Residuation in lattice effect algebras
Ivan Chajda, Helmut Länger
We introduce the concept of a quasiresiduated lattice and prove that every lattice effect algebra can be organized into a commutative quasiresiduated lattice with divisibility. Als…