CAJ | 학술논문

研究D-半群的结构性质。借助于Rees 序，建立了D-半群范畴和序半群范畴之间的函子，并证明了幂等可换半群范畴ICSGr是D半-群范畴 DSGr的余反射子范畴，同时，也研究了D-半群S上的右理想拓扑τS ，证明了（ S，τS ）是T0-空间当且仅当S是幂等可换的半群，并且d＝idS 。
연구D-반군적결구성질。차조우Rees 서，건립료D-반군범주화서반군범주지간적함자，병증명료멱등가환반군범주ICSGr시D반-군범주 DSGr적여반사자범주，동시，야연구료D-반군S상적우이상탁복τS ，증명료（ S，τS ）시T0-공간당차부당S시멱등가환적반군，병차d＝idS 。
The main purpose of this paper is to investigate the structure of D-semigroups, where D-semigroups may be viewed as generalizations of inverse semigroups .In terms of Rees order , we build a functor from the cate-gory of D-semigroups to the category of ordered semigroups , and prove that the category ICSGr of idempotent and commutative semigroups is a reflective subcategory of the category DSGr of D-semigroups.Furthermore, we also prove that for the right ideal topology τS on a D-semigroup S,( S,τS ) is a T0-space if and only if S is an idempo-tent commutative semigroup and d=ids .