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Non-commutative rings and algebras, non-associative algebras, universal algebra and lattice theory, linear algebra, semigroups. For questions specific to commutative algebra (that is, rings that are assumed both associative and commutative), rather use the tag ac.commutative-algebra.
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votes
Linear Algebra Texts?
I apologize for plugging my own text, but I think that "Introduction to Linear, Ideas and Applications" by Richard Penney might be exactly what the questioner is looking for. It is relatively gentle …