论文标题
代数的Ibn-Varieties
IBN-varieties of algebras
论文作者
论文摘要
IBN（不变基本数字）礼节的多样性概念首先出现在环理论中。但是，我们可以为具有任意签名的任意普遍代数定义这个概念。请参阅定义1.4。在通用代数几何形状中，某些品种的IBN专有性证明非常重要。这是研究该品种代数的几何和自动形态等效之间关系的一个里程碑。在本文中，我们证明非常简单，但对于研究不同品种定理2.1和3.2的IBN专有性非常有用。我们将考虑该定理的应用。我们将考虑多组的通用代数以及一个分数。因此，所有概念和所有结果都将通过对多组案例进行概括。
The concept of variety with IBN (invariant basic number) propriety first appeared in ring theory. But we can define this concept for arbitrary variety of universal algebras with arbitrary signature; see Definition 1.4. The proving of the IBN propriety of some variety is very important in universal algebraic geometry. This is a milestone in the study of the relation between geometric and automorphic equivalences of algebras of this variety. In this paper we prove very simple but very useful for studying of IBN proprieties of different varieties Theorems 2.1 and 3.2. We will consider applications of this theorem. We will consider many-sorted universal algebras as well as one-sorted. So all concepts and all results will by generalized for the many-sorted case.
