𝜃-modular bands of groups

Spitznagel, C.

doi:10.1090/S0002-9947-1973-0318365-6

$\theta$-modular bands of groups
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Trans. Amer. Math. Soc. 177 (1973), 469-482 Request permission

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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