Large sets near idempotent and its product

被引：0
|
作者：
Surajit Biswas
Sourav Kanti Patra
机构：
[1] Ramakrishna Mission Vidyamandira,Department of Mathematics
[2] The University of Burdwan,Department of Mathematics, Centre for Distance and Online Education
来源：
Semigroup Forum | 2023年 / 106卷
关键词：
Central set near idempotent; Piecewise syndetic set near idempotent; Tensor product; Milliken–Taylor system near zero;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Tootkaboni and Vahed introduced the notion of some large sets near idempotent along with some combinatorial properties. We characterize when the finite Cartesian product of central sets near idempotent is central near idempotent. Moreover, we provide a partial characterization for the infinite Cartesian product of the same. We then study the abundance of some large sets near idempotent. We also investigate the effect of tensor product near zero. Finally, as an application we provide a characterization of members of polynomials (with constant term 0) evaluated at idempotents in a near zero semigroup.
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页码：368 / 393
页数：25
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