Gelfand-Kirillov dimension of multi-filtered algebras
نویسندگان
چکیده
منابع مشابه
Simple Algebras of Gelfand - Kirillov Dimension Two
Let k be a field. We show that a finitely generated simple Goldie k-algebra of quadratic growth is noetherian and has Krull dimension 1. Thus a simple algebra of quadratic growth is left noetherian if and only if it is right noetherian. As a special case, we see that if A is a finitely generated simple domain of quadratic growth then A is noetherian and by a result of Stafford every right and l...
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Throughout this paper, K is a field, a module M over an algebra A means a left module denoted AM , ⊗ = ⊗K . In contrast to the finite dimensional case, there is no general theory of central simple infinite dimensional algebras. In some sense, structure of simple finite dimensional algebras is ‘determined’ by their maximal commutative subalgebras (subfields)[see [18] for example]. Whether this s...
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1999
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500020083