Quadratic semigroups on affine spaces
TLDR
In this article, the quadratic case was studied, i.e., the case when the polynomials are of degree at most two, and the resulting semigroup was called a quadrastic semigroup.About:
This article is published in Linear Algebra and its Applications.The article was published on 1979-08-01 and is currently open access. It has received 5 citations till now. The article focuses on the topics: Special classes of semigroups & Semigroup.read more
Citations
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On linear algebraic semigroups
TL;DR: In this paper, it was shown that a connected algebraic semigroup S with idempotent set E(S) is connected if the underlying set is irreducible.
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Commutative algebraic monoid structures on affine spaces
TL;DR: In this paper, commutative associative polynomial operations over an algebraically closed field of characteristic zero were studied, and a classification of such operations was proposed and analyzed.
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Commutative algebraic monoid structures on affine surfaces
Sergey Dzhunusov,Yulia Zaitseva +1 more
TL;DR: In this article, a general classification of commutative algebraic monoid structures on normal affine surfaces over an algebraically closed field of characteristic zero is given in two languages: comultiplications and Cox coordinates.
References
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Book
Linear Associative Algebras
TL;DR: A vector space is called a linear algebra when besides addition of vectors and multiplication of vectors by scalars, a third operation is also defined in the vector space as discussed by the authors, which is called multiplication by vectors by vectors.
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On some semi-groups
TL;DR: In this article, after arranging lexicographically the terms of f(x, y), and comparing the leading terms of (xoy) oz and x o (y o z), they find that ǫ does not include terms of degree Á 3.