Rings of congruence preserving functions, II
نویسندگان
چکیده
منابع مشابه
Congruence Preserving Functions on Free Monoids
A function on an algebra is congruence preserving if, for any congruence, it maps congruent elements to congruent elements. We show that, on a free monoid generated by at least three letters, a function from the free monoid into itself is congruence preserving if and only if it is of the form x 7→ w0xw1 · · ·wn−1xwn for some finite sequence of words w0, . . . , wn. We generalize this result to ...
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In this paper, we prove that every lattice L has a congruencepreserving extension into a regular lattice L̃, moreover, every compact congruence of L̃ is principal. We construct L̃ by iterating a construction of the first author and F. Wehrung and taking direct limits. We also discuss the case of a finite lattice L, in which case L̃ can be chosen to be finite, and of a lattice L with zero, in which ...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2020
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927872.2020.1812619