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Aug
25
revised Why are algebras classified as being of a certain type?
deleted 7 characters in body
Aug
22
answered Why are algebras classified as being of a certain type?
Aug
20
comment What can we actually do with congruence relations, specifically?
I don't think this question should be closed. It is not too broad, and although a detailed answer, exploring every facet of the topic, would require more than a few paragraphs, it's possible to give a reasonable answer in a few paragraphs with pointers to references where one can find more details. I believe I gave a reasonable answer to the question and it seems the OP found my answer helpful, judging from the comments. I vote to re-open.
Aug
20
awarded  Disciplined
Aug
10
revised What can we actually do with congruence relations, specifically?
deleted 9 characters in body
Aug
10
revised What can we actually do with congruence relations, specifically?
added 754 characters in body
Aug
9
answered What can we actually do with congruence relations, specifically?
May
15
awarded  Yearling
May
5
awarded  Nice Answer
Mar
31
answered why $(\theta _{1}\circ \theta _{2})^{\vee }\subset(\theta _{2}\circ \theta _{1})^{\vee } $
Mar
30
comment Show Sg$(X) = X\cup E(X) \cup E^{2}(X)\cup …$
Is this homework? If so, perhaps you should tag it as such. Also, what have you tried? Have you given some thought to the question? Do the definitions make sense to you?
Feb
11
comment Algebraic systems
Please see my answer to this question.
Jan
26
answered whether given lattice is distributive or complemented or both?
Jan
22
comment Which texts do you recommend to study universal algebra and lattice theory?
@KevinCarlson Lattices are usually studied alongside universal algebra because of the fundamental role they play. Besides the examples Alex mentions, there's the lattice of varieties or equational theories. So, while it's true that lattices are "a particular case of universal algebras," they play a more central role than algebras of other types.
Jan
22
revised Example of a map between two lattices such that the map is an order embedding but not a lattice embedding
fixed title to match actual question
Jan
22
revised Example of a map between two lattices such that the map is an order embedding but not a lattice embedding
edited body
Jan
22
suggested approved edit on Example of a map between two lattices such that the map is an order embedding but not a lattice embedding
Jan
22
answered Example of a map between two lattices such that the map is an order embedding but not a lattice embedding
Nov
6
revised Which texts do you recommend to study universal algebra and lattice theory?
deleted 116 characters in body
Oct
28
revised Which texts do you recommend to study universal algebra and lattice theory?
deleted 1 character in body