满足恒等式的Γ-半环  

TheΓ-Semirings Satisfying Identities

作　　者：冯军庆[1] 梁国宏[1] 徐慧 FENG Junqing;LIANG Guohong;XU Hui(Foundation Department of Air Force Engineering University,Xi’an 710051,China)

机构地区：[1]空军工程大学基础部,西安710051

出　　处：《湖北民族大学学报（自然科学版）》2021年第2期202-204,共3页Journal of Hubei Minzu University:Natural Science Edition

基　　金：国家自然科学基金项目(11661073);空军工程大学基础部基金项目(JK2020105).

摘　　要：主要利用Γ-半环的加法半群的结构来研究满足恒等式的Γ-半环.结果表明Γ-半环的加法半群和Γ-半群的性质相互影响、相互制约,并且Γ-半环的加法半群和Γ-半群的性质决定了Γ-半环的性质与结构.In this paper,we mainly use the structure of additive semigroups ofΓ-semirings to studyΓ-semirings satisfying identities.The results show that the properties of additive semigroup andΓ-semigroup ofΓ-semiring influence and restrict each other,and the properties of additive semigroup andΓ-semigroup ofΓ-semiring determine the properties and structure ofΓ-semiring.

关 键 词：Γ-半群 Γ-半环 正规Γ-半环 

分 类 号：O152.7[理学—数学]