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The kernel of a linear algebraic semigroup
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Wenxue Huang
Published/Copyright:
September 9, 2005
Abstract
Let S be a linear algebraic semigroup defined over a field. The kernel of S, denoted ker(S ), as the minimal two-sided semigroup-theoretical ideal of S, exists and is a Zariski closed subset of M. In many situations, certain properties of a linear algebraic monoid are controlled to a large degree by the structure of its kernel. In this paper, the structure of the kernel of S is described in terms of algebraic group, algebraic variety and the Rees construction. Some properties of an irreducible algebraic monoid related to ker(M ) are studied.
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Published Online: 2005-09-09
Published in Print: 2005-09-19
Walter de Gruyter GmbH & Co. KG
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