52 citations · 217 across the 45 of their papers we have counts for
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math.RA2008★ 5 cited
On coproducts in varieties, quasivarieties and prevarieties
George M. Bergman
If the free algebra F on one generator in a variety V of algebras (in the sense of universal algebra) has a subalgebra free on two generators, must it also have a subalgebra free o…
math.NT2008★ 1 cited
On common divisors of multinomial coefficients
George M. Bergman
Erdős and Szekeres showed in 1978 that for any four positive integers satisfying m_1+m_2 = n_1+n_2, the two binomial coefficients (m_1+m_2)!/m_1! m_2! and (n_1+n_2)!/n_1! n_2! have…
math.RA2008
On lattices and their ideal lattices, and posets and their ideal posets
George M. Bergman
For P a poset or lattice, let Id(P) denote the poset, respectively, lattice, of upward directed downsets in P, including the empty set, and let id(P)=Id(P)-\{\emptyset\}. This note…