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.

引用

页码：368 / 393

页数：25

共 50 条

[31] Densities of idempotent measures and large deviations
Akian, M
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 351 (11) : 4515 - 4543
[32] The semigroup of ultrafilters near an idempotent of a semitopological semigroup
Tootkaboni, M. Akbari
Vahed, T.
[J]. TOPOLOGY AND ITS APPLICATIONS, 2012, 159 (16) : 3494 - 3503
[33] Another product construction for large sets of resolvable directed triple systems
Zhao, Hongtao
[J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2009, 16 (01):
[34] A new product construction for large sets of resolvable Mendelsohn triple systems
Zhao, Hongtao
[J]. ARS COMBINATORIA, 2010, 96 : 385 - 394
[35] THE LAW OF LARGE NUMBERS FOR PRODUCT PARTIAL SUM PROCESSES INDEXED BY SETS
KWON, JS
[J]. JOURNAL OF MULTIVARIATE ANALYSIS, 1994, 49 (01) : 76 - 86
[36] Product preservation and stable units for reflections into idempotent subvarieties
Xarez, Isabel A.
Xarez, Joao J.
[J]. CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS, 2020, 13 (01) : 1 - 21
[37] Terseness:: Minimal idempotent generating sets for K(n, r)
McFadden, RB
Seif, S
[J]. SEMIGROUP FORUM, 2003, 67 (01) : 31 - 36
[38] When are nonnegative matrices product of nonnegative idempotent matrices?
Alahmadi, A.
Jain, S. K.
Leroy, A.
[J]. LINEAR & MULTILINEAR ALGEBRA, 2018, 66 (04): : 748 - 758
[39] Terseness: Minimal idempotent generating sets for K(n,r)
Robert B. McFadden
Steve Seif
[J]. Semigroup Forum, 2003, 67 : 31 - 36
[40] Dynamics on Large Sets and Its Applications to Oligopoly Dynamics
Canovas, Jose S.
Munoz Guillermo, Maria
[J]. COMPLEX NETWORKS AND DYNAMICS: SOCIAL AND ECONOMIC INTERACTIONS, 2016, 683 : 267 - 308

← 1 2 3 4 5 →