maximal disjoint subcollection of H0 (such a subcollection exists by Zorn's lemma). Assuming that G0,...,Gn have been selected, let H n + 1 = { B ∈ F n...

This is essentially the statement of Nakayama's lemma. Precisely, one has the following. Nakayama's lemma: Let U be a finitely generated right module over...

and every totally ordered subset of (X, ⊆) has an upper bound in X, Zorn's lemma asserts that X has a maximal element. In other words, there exists some...

superclass end. Birkhoff (1948). Vogt (1895). Rival (1985), p. 110. E.g., see Di Battista & Tamassia (1988) and Freese (2004). For examples of this alternative...

model is a model of L, as every L-MCS contains all theorems of L. By Zorn's lemma, each L-consistent set is contained in an L-MCS, in particular every...

Virginia Zeani, world-famous operatic soprano Max August Zorn, mathematician and originator of Zorn's lemma David B. Allison, scientist, researcher Martina Arroyo...

Anne Wiazemsky France The Weir-Falcon Saga Stan Brakhage United States Zorns Lemma Hollis Frampton United States 1971 The Act of Seeing with One's Own Eyes...

model is a model of L, as every L-MCS contains all theorems of L. By Zorn's lemma, each L-consistent set is contained in an L-MCS, in particular every...

former cannot be explicitly described (because their existence involves Zorn's lemma). In this context, 2 can represents the set { 0 , 1 } . {\displaystyle...