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1)  subdirect reducibility
亚直可约
1.
In this paper, we discuss the subdirect reducibility of a class inverse semigroups by virtue of congruence extensions on inverse semigroups, and characterize the idempotent semilattices of this class inverse semigroups.
本文利用逆半群上的同余扩张,讨论了一类逆半群的亚直可约性,并刻划了这类逆半群的幂等元集的特征。
2)  subdirectly irreducible ring
亚直不可约环
1.
On some characters of the upper radical determined by the class of all J - semisimple subdirectly irreducible rings;
关于由J-半单的亚直不可约环类所确定的刻划
2.
The essential rings are defined,and it is also the generalization of both the subdirectly irreducible rings and the prime rings.
定义了本质环 ,它同时是亚直不可约环和素环的推广 ;给出了本质环的一些描述及基本性质 ;研究了由本质环所决定的两个特殊根 。
3.
In this paper, let σ be an arbitrary suppernilpotent radical, the upper radical detemined by the class of all σ-semisimple subdirectly irreducible rings is studied.
研究了任一个超幂零根为零的亚直不可约环所确定的环类 ,证明了由这样的环类所确定的上根都是特殊根 ,并且给出了这类根的一些刻
3)  subdirectly irreducible module
亚直不可约模
4)  Graded Subdirectly irrdeucible rings
分次亚直不可约环
5)  subdirectly irreducible
亚直既约
1.
This paper introduces the concepts of star semiring,star homomorphisms of semirings,the subdirect product of a family of star semirings and subdirectly irreducible star semiring,and then proves the subdirect decomposition theorem of star semirings.
引入了星半环、半环的星同态、星半环的亚直积和亚直既约等概念,证明了星半环的亚直分解定理。
2.
The concepts of the subdirect product and subdirectly irreducible of a family of semirings are introduced.
引入了半环的亚直积和亚直既约等概念,证明了半环的亚直分解定理。
6)  subdirectly irreducible ring
亚直既约环
1.
The author give certain sufficient or necessary conditions on a class M of subdirectly irreducible rings for UM satisfies property (Int).
讨论了由亚直既约环类所确定的上根,给出了满足条件(b)的上根的一些刻
2.
This paper deals with some retative properties of A and smash product A#G * ; when A is graded faithful, A#G * is subdirectly irreducible ring if and only if A e is also.
讨论了分次环A,Ae和A#G*的相关性质,在A是分次忠实时,A#G*是亚直既约环当且仅当Ae是亚直既约环;在A是分次非退化时,A#G*是G亚直既约环当且仅当A是分次亚直既约环。
3.
In the present note we first prove that every subdirectly irreducible ring can beobtained as a homomorphic image of another subdirectly irreducible ring and then point outan example of a subdirectly irreducible ring R with heart H for which:(1) R has a non-subdirectly irreducible homomorphic image.
本文证明了每一个亚直既约环能够作为另一个亚直既约环的真同态象。
补充资料:翰林权直罢归和朱约山韵
【诗文】:
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梦中芳草还成路,别后黄花又是时。
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