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Semidirect Products and Wreath Products of Strongly π-Inverse Monoids
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Yufen Zhang
, Shizheng Li and Desheng Wang
Published/Copyright:
February 23, 2010
Abstract
In this paper we determine the necessary and sufficient conditions for the semidirect products and the wreath products of two monoids to be strongly π-inverse. Furthermore, we determine the least group congruence on a strongly π-inverse monoid, and we give some important isomorphism theorems.
Received: 1994-05-17
Published Online: 2010-02-23
Published in Print: 1996-June
© 1996 Plenum Publishing Corporation
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- The Weighted BMO Condition and a Constructive Description of Classes of Analytic Functions Satisfying this Condition
- Some Partitions Consisting of Jordan Curves
- Two-Dimensional Steady-State Oscillation Problems of Anisotropic Elasticity
- On Krull Dimension of Ore Extensions
- Almost Periodic Harmonizable Processes
- Semidirect Products and Wreath Products of Strongly π-Inverse Monoids
Keywords for this article
Wreath product;
π-inverse monoid;
regular monoid;
group congruence
Articles in the same Issue
- Equilibrium for Perturbations of Multifunctions by Convex Processes
- The Weighted BMO Condition and a Constructive Description of Classes of Analytic Functions Satisfying this Condition
- Some Partitions Consisting of Jordan Curves
- Two-Dimensional Steady-State Oscillation Problems of Anisotropic Elasticity
- On Krull Dimension of Ore Extensions
- Almost Periodic Harmonizable Processes
- Semidirect Products and Wreath Products of Strongly π-Inverse Monoids