Here are the closed questions tagged (at this date) with the deprecated abstract-algebra.
finite index, self-normalizing subgroup of $F_2$
Why do we not lose any generality by proving it only for finitely generated groups
(not closed but downvoted) https://mathoverflow.net/questions/225240/group-associated-to-the-monoid-cal-px-times-x-circ
Making idempotent element by a relation
How to solve this system of equations?
Is the "algebraic closure" of the quaternions, finite dimensional?
Is there any construction of infinite dimensional algebraic division ring?
Polynomial constraints triggered by irreducibility
Does this solution guarantee $det(A)=0$ where $A\in M(R)$?
Is $K\cap \langle H\cup N\rangle\subseteq \langle H\cup (K\cap N)\rangle$?
Diagonalize the simultaneous matrices and its background
Learning Algebra & Group Theory on my own
now deleted https://mathoverflow.net/questions/47534/unit-ideal-in-non-commutative-rings
now deleted https://mathoverflow.net/questions/157122/algebra-generated-by-a-tree-edit
now deleted https://mathoverflow.net/questions/127611/an-exercise-about-tor
now deleted https://mathoverflow.net/questions/266080/does-alexander-whitney-formula-imply-pythagoras-theorem