ON IDEALS, FILTERS AND CONGRUENCES IN INCLINES

Wei Yao, Song-Chol Han
2009 Bulletin of the Korean Mathematical Society  
This paper studies the relations between ideals, filters, regular congruences and normal congruences in inclines. It is shown that for any incline, there are a one-to-one correspondence between all ideals and all regular congruences and a one-to-one correspondence between all filters and all normal congruences.
doi:10.4134/bkms.2009.46.3.591 fatcat:7fxl5spszndz3i7yua2kd4defy