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See "Seven Lectures on the Universal Algebraic Geometry" by Boris Plotkin (Hebrew University). The text is in arXiv. Since the OP does not explain what "algebraic geometry" means, here are some explanations. The point is that there are several statements in the classical algebraic geometry which are true in a much more general situations. This was first disvovered by Remeslennikov for groups, Guba, Makanin and Razborov for their theory of equations over free groups and then by Kharlampovich and Myasnikov and ( less explicitly) by Sela for the Tarski problem. More recently some of the theory applied to free associative ring. Plotkin suggests a much more general approach which can be applied to general algebraic systems including free nonassociative rings.

See "Seven Lectures on the Universal Algebraic Geometry" by Boris Plotkin (Hebrew University). The text is in arXiv. Since the OP does not explain what "algebraic geometry" means, here are some explanations. The point is that there are several statements in the classical algebraic geometry which make sense and are even true in much more general situations. This was first discovered by Remeslennikov for groups, Guba, Makanin and Razborov for their theory of equations over free groups and then by Kharlampovich and Myasnikov and ( less explicitly) by Sela for the Tarski problem. More recently some of the theory applied to free associative ring. Plotkin suggests a much more general approach which can be applied to general algebraic systems including nonassociative rings.

See "Seven Lectures on the Universal Algebraic Geometry" by Boris Plotkin (Hebrew University). The text is in arXiv. The point is that there are several statements in the classical algebraic geometry which is true in a much more general situations. This was first disvovered by Remeslennikov for groups, Guba, Makanin and Razborov for their theory of equations over free groups and then by Kharlampovich and Myasnikov and ( less explicitly) by Sela for the Tarski problem. More recently some of the theory applied to free associative ring. Plotkin suggests a much more general approach which can be applied to general algebraic systems including free nonassociative rings.

See "Seven Lectures on the Universal Algebraic Geometry" by Boris Plotkin (Hebrew University). The text is in arXiv. Since the OP does not explain what "algebraic geometry" means, here are some explanations. The point is that there are several statements in the classical algebraic geometry which are true in a much more general situations. This was first disvovered by Remeslennikov for groups, Guba, Makanin and Razborov for their theory of equations over free groups and then by Kharlampovich and Myasnikov and ( less explicitly) by Sela for the Tarski problem. More recently some of the theory applied to free associative ring. Plotkin suggests a much more general approach which can be applied to general algebraic systems including free nonassociative rings.

See "Seven Lectures on the Universal Algebraic Geometry" by Boris Plotkin (Hebrew University). The text is in arXiv.

See "Seven Lectures on the Universal Algebraic Geometry" by Boris Plotkin (Hebrew University). The text is in arXiv. The point is that there are several statements in the classical algebraic geometry which is true in a much more general situations. This was first disvovered by Remeslennikov for groups, Guba, Makanin and Razborov for their theory of equations over free groups and then by Kharlampovich and Myasnikov and ( less explicitly) by Sela for the Tarski problem. More recently some of the theory applied to free associative ring. Plotkin suggests a much more general approach which can be applied to general algebraic systems including free nonassociative rings.