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math.RA2019★ 1 cited
The center of the total ring of fractions
Oswaldo Lezama, Helbert Venegas
Let be a right Ore domain, be the center of and be the right total ring of fractions of . If is a field and is a -algebra, in this short paper…
math.RA2019
Gelfand-Kirillov dimension for rings
Oswaldo Lezama, Helbert Venegas
The classical Gelfand-Kirillov dimension for algebras over fields has been extended recently by J. Bell and J.J Zhang to algebras over commutative domains. However, the behavior of…
math.RA2019
Some open problems in the context of skew PBW extensions and semi-graded rings
Oswaldo Lezama
In this paper we discuss some open problems of non-commutative algebra and non-commutative algebraic geometry from the approach of skew extensions and semi-graded rings. More…