73 citations · 300 across the 27 of their papers we have counts for
4 papers · 1 filter
Primes and absolutely or non-absolutely irreducible elements in atomic domains
Victor Fadinger, Sophie Frisch, Sarah Nakato +2
We give examples of atomic integral domains satisfying each of the eight logically possible combinations of existence or non-existence of the following kinds of elements: 1) primes…
Factoring through monomial representations: arithmetic characterizations and ambiguity of weighted automata
Antoni Puch, Daniel Smertnig
We characterize group representations that factor through monomial representations, respectively, block-triangular representations with monomial diagonal blocks, by arithmetic prop…
Monoid algebras and graph products
Wilfried Imrich, Igor Klep, Daniel Smertnig
In this note, we extend results about unique roots and cancellation of finite disconnected graphs with respect to the Cartesian, the strong and the direct product…
A monoid-theoretical approach to infinite direct-sum decompositions of modules
Zahra Nazemian, Daniel Smertnig
Let be a class of modules over a ring , closed under direct sums over index sets of cardinality and isomorphisms, and such that the isomorphism classes form a s…