4 citations · 13 across the 28 of their papers we have counts for
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math.RA2018★ 4 cited
On a variety of commutative multiplicatively idempotent semirings
Ivan Chajda, Helmut Länger
We prove that the variety V of commutative multiplicatively idempotent semirings satisfying x + y + xyz = x + y is generated by single semirings. Moreover, we describe a normal for…
math.RA2018★ 2 cited
Coupled right orthosemirings induced by orthomodular lattices
Ivan Chajda, Helmut Länger
L. P. Belluce, A. Di Nola and B. Gerla established a connection between MV-algebras and (dually) lattice ordered semirings by means of so-called coupled semirings. A similar connec…
math.RA2018★ 2 cited
General coupled semirings of residuated lattices
Ivan Chajda, Helmut Länger
Di Nola and Gerla showed that MV-algebras and coupled semirings are in a natural one-to-one correspondence. We generalize this correspondence to residuated lattices satisfying the…