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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

$ \theta $-modular bands of groups


Author: C. Spitznagel
Journal: Trans. Amer. Math. Soc. 177 (1973), 469-482
MSC: Primary 20M10
DOI: https://doi.org/10.1090/S0002-9947-1973-0318365-6
MathSciNet review: 0318365
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Abstract: The class of $ \theta $-modular bands of groups is defined by means of a type of modularity condition on the lattice of congruences on a band of groups. The main result characterizes $ \theta $-modularity as a condition on the multiplication in the band of groups. This result is then applied to the classes of normal bands of groups and orthodox bands of groups.


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DOI: https://doi.org/10.1090/S0002-9947-1973-0318365-6
Keywords: Lattice of congruences, band of groups, $ \theta $-modular, $ \theta $-relation, normal band of groups, orthodox band of groups
Article copyright: © Copyright 1973 American Mathematical Society