This monograph is concerned with the relationships between Maltsev conditions, commutator theories and the shapes of congruence lattices in varieties of algebras. The authors develop the theories of the strong commutator, the rectangular commutator, the strong rectangular commutator, as well as a solvability theory for the nonmodular TC commutator. They prove that a residually small variety that satisfies a congruence identity is congruence modular.
A free ebook version of this title is available through Luminos, University of California Press’s new open access publishing program for monographs. Visit www.luminosoa.org to learn more. With Mexico’s War on Crime as the backdrop, Making Things Stick offers an innovative analysis of how surveillance technologies impact governance in the global society. More than just tools to monitor ordinary people, surveillance technologies are imagined by government officials as a way to reform the national state by focusing on the material things—cellular phones, automobiles, human bodies—that can enable crime. In describing the challenges that the Mexican government has encountered in implementing this novel approach to social control, Keith Guzik presents surveillance technologies as a sign of state weakness rather than strength and as an opportunity for civic engagement rather than retreat.
This monograph is concerned with the relationships between Maltsev conditions, commutator theories and the shapes of congruence lattices in varieties of algebras. The authors develop the theories of the strong commutator, the rectangular commutator, the strong rectangular commutator, as well as a solvability theory for the nonmodular TC commutator. They prove that a residually small variety that satisfies a congruence identity is congruence modular.
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