论文标题
一致性模块化品种中的一致性扩展
Congruence Extensions in Congruence-modular Varieties
论文作者
论文摘要
我们从代数和拓扑的角度研究了普遍代数的最低素数，考虑到了质量一致性W.R.T.术语条件换向器。然后，我们使用最小原始光谱的拓扑结构来研究概括某些类型的环延伸源的通用代数的扩展。我们的结果适用于半成分一致性模块化品种的半磁成员以及其期限换向器的半iMemime代数。即使这些代数没有产生一致性模数品种，任意联接并满足紧凑型一致性的某些条件。
We investigate from an algebraic and topological point of view the minimal prime spectrum of a universal algebra, considering the prime congruences w.r.t. the term condition commutator. Then we use the topological structure of the minimal prime spectrum to study extensions of universal algebras that generalize certain types of ring extensions. Our results hold for semiprime members of semi-degenerate congruence-modular varieties, as well as semiprime algebras whose term condition commutators are commutative and distributive w.r.t. arbitrary joins and satisfy certain conditions on compact congruences, even if those algebras do not generate congruence-modular varieties.
