局部实Riesz代数的统计乘收敛
Statistically multiplicative convergence on locally solid Riesz algebras
摘要：
本文在局部实Riesz代数中引入了关于代数乘法和实拓扑的统计乘法收敛序列。本文对这一概念进行了研究，给出了$\mathbb{st_m}$ -有界序列的概念，并证明了这种收敛性与拓扑空间中的序收敛性、统计收敛性等收敛性之间的关系。同时，我们也给出了与半素$f$ -代数有关的一些结果.
英文摘要：
In this paper, we introduce the statistically multiplicative convergent sequences in locally solid Riesz algebras with respect to the algebra multiplication and the solid topology. We study on this concept and we give the notion of $\mathbb{st_m}$-bounded sequence, and also, we prove some relations between this convergence and the other convergences such as the order convergence and the statistical convergence in topological spaces. Also, we give some results related to semiprime $f$-algebras.
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