output
20042025
most citedFactorization theory: From commutative to noncommutative settings

73 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2014Show all

2 papers · 1 filter

math.AC2014★ 17 cited

A semigroup-theoretical view of direct-sum decompositions and associated combinatorial problems

Nicholas R. Baeth, Alfred Geroldinger, David J. Grynkiewicz +1

Let be a ring and let be a small class of right -modules which is closed under finite direct sums, direct summands, and isomorphisms. Let $\mathcal V (\mathcal…

math.RA2014★ 73 cited

Factorization theory: From commutative to noncommutative settings

Nicholas R. Baeth, Daniel Smertnig

We study the non-uniqueness of factorizations of non zero-divisors into atoms (irreducibles) in noncommutative rings. To do so, we extend concepts from the commutative theory of no…