Congruences of the fork extensions. II. The congruence gamma
George Gr\"atzer
TL;DR
This paper investigates the congruences of fork extensions in slim semimodular lattices, extending previous work to deepen understanding of their algebraic structure and properties.
Contribution
It provides a detailed analysis of congruences in fork extensions, building upon prior definitions and results to advance lattice theory.
Findings
Characterization of congruences in fork extensions
Extension of congruence properties from Part I
Enhanced understanding of slim semimodular lattice structures
Abstract
G. Cz\'edli and E.\,T. Schmidt introduced in 2012 the fork extension. Continuing from Part I, we investigate the congruences of a fork extension. This paper has been merged with Part I, under the title Congruences of fork extensions of slim semimodular lattices, see arXiv: 1307.8404
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Taxonomy
TopicsAdvanced Algebra and Logic · Rough Sets and Fuzzy Logic · semigroups and automata theory