7 citations · 8 across the 3 of their papers we have counts for
3 papers
math.RA2019★ 7 cited
Ideals of direct products of rings
Ivan Chajda, Günther Eigenthaler, Helmut Länger
It is known that an ideal of a direct product of commutative unitary rings is directly decomposable into ideals of the corresponding factors. We show that this does not hold in gen…
math.LO2018
Residuated operators and Dedekind-MacNeille completion
Ivan Chajda, Helmut Länger, Jan Paseka
The concept of operator residuation for bounded posets with unary operation was introduced by the first two authors. It turns out that in some cases when these operators are transf…
math.LO2018★ 1 cited
Residuation in modular lattices and posets
Ivan Chajda, Helmut Länger
We show that every complemented modular lattice can be converted into a left residuated lattice where the binary operations of multiplication and residuum are term operations. The…