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통찰 - SemigroupTheory
On the Structure and Topology of Simple Inverse ω-Semigroups with Compact Maximal Subgroups
This paper characterizes the structure and topology of simple inverse ω-semigroups with compact maximal subgroups, showing they are topologically isomorphic to specific Bruck-Reilly extensions and examining the topological implications of adjoining a zero element.
The Semigroup of Finite Partial Order Isomorphisms with Bounded Rank on Infinite Linearly Ordered Sets
This research paper investigates the algebraic structure of OIn(L), the semigroup of finite partial order isomorphisms with rank less than or equal to n on an infinite linearly ordered set (L, ⩽), demonstrating that it is a stable, combinatorial, inverse semigroup with a tight ideal series and only admits Rees' congruences.
반군에서의 일측 동일성 및 제로 집합과 특정 유형의 최대 부분군에 대한 연구
본 논문은 반군에서 일측 동일성 및 제로 집합의 개념을 확장하고, 이를 활용하여 특정 유형의 최대 부분군, 특히 최대 좌[우] 제로 부분반군, 직사각형 밴드 부분반군, 최대 우[좌] 부분군의 구조를 규명합니다.
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