Combinatorial results for zero-divisors regarding right zero elements of order-preserving transformations

2025/07/07 by Emrah Korkmaz, Hayrullah Ayık, Korkmaz, Emrah +1
Mathematics · #Advanced Topics in Algebra #FOS: Mathematics #Mathematics and Applications #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2507.04900

openalex publication_date 2025/07/07 · openalex created_date 2025/10/20 · openalex updated_date 2026/07/28

Abstract

For any positive integer n, let O_n be the semigroup of all order-preserving full transformations on X_n=\1<⋯

Citations

• On the monoid of order-preserving transformations of a finite chain whose ranges are intervals
• On the Rank of Monoids of Endomorphisms of a Finite Directed Path
• On semigroups of endomorphisms of a chain with restricted range
• The Zero-Divisor Graph of a Commutative Ring
• Products of idempotents in certain semigroups of transformations
• Zero divisor graphs of semigroups

Related

• On certain subsemigroups of finite oriented and order-decreasing full transformations
• Generating Sets of an Infinite Semigroup of Transformations Preserving a Zig-zag Order
• On certain semigroups of finite oriented and order-decreasing partial transformations
• Combinatorial results for certain semigroups of order-preserving full contraction mappings of a finite chain
• On certain semigroups of finite monotone and order-decreasing partial transformations