Vol. 2025 No. 1 (0)
Theme: The Adaptive Biometric Technology: Innovations in AI, Security, Data Mining, and Network Optimization

Theme: Adaptive Biometric Technology: Innovations in AI, Security, Data Mining, and Network Optimization

The flatness properties of diagonal S-posets

Published 2025-06-11

  • Leting Feng

Leting Feng
College of Mathematics and Statistics, Northwest Normal University, China

Abstract

This paper investigates the flatness properties of diagonal S-posets D(S) over pomonoids. We characterize pomonoids for which D(S) satisfies various flatness conditions, including (E∗ ), (PE), (P 0 ),and (E0 ). Additionally, we explore the transfer of these properties from products of S-posets to their components and provide conditions under which these properties transfer from S-posets to their products.

Keywords

Pomonoid S-posets; Flatness properties; Diagonal S-posets; Product of pomonoids

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