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1. A construction theorem for such semigroup is obtained.

2. After giving some characterizations of left C a semigroups, the concept of pseudo spined product is to be defined and the new structure of left C a semigroup is to be given.

3. The relationship between the finite commutative semigroup and the finite commutative group is established.

4. A left seminormal orthodox semigroup is an orthodox semigroup whose idempotents form a left seminormal band. We deal with natures of a left seminormal orthodox semigroup with an inverse transversal.

5. In this paper, utilizing knowledge of semigroup to study the approximation of transition function. Some well-known results are generalized.

6. If a monogenic semigroup is infinite then it is isomorphic to the semigroup of positive integers with the operation of addition.

7. In this paper, by using C0 - semigroup theory the existence of a unique positive time- dependent solution of a bulk service queue with finite waiting space is proved.

8. For example, every nonempty finite semigroup is periodic, and has a minimal ideal and at least one idempotent.

9. On inverse semi-groups, the fuzzy normal sub- semigroup and fuzzy quotient sub- semigroup are defined via some special fuzzy relation by using fuzzy congruence relation on set.

10. Let G be a semigroup generated by a family of transcendental entire functions with the semigroup operation being functional composition.

11. It follows that every nonempty periodic semigroup has at least one idempotent.

12. A left seminormal orthodox semigroup is an orthodox semigroup whose idempotents form a left seminormal band.

13. An example of semigroup with no minimal ideal is the set of positive integers under addition.

14. This paper analyzes the dynamic properties of semigroups generated by a family of transcendental entire functions with the semigroup operation being functional composition.

15. A semigroup generated by a single element is said to be monogenic (or cyclic ).

16. Equivalent relation between a pure Archimedean semigroup and its ideals is discussed for an equivalent semigroups, every proper ideal of S is pure archimedean semigroup.

17. First we obtain well posedness and show that strongly asymptotical stability of closed loop system by using the method of linear operators semigroup.

18. In this paper notation of a strongly ordered congruence on an ordered semigroup S is introduced.

19. This (paper) showed that an arbitrary I-semigroup is not satisfied with cancellation law and all real-bi-ideal of semigroup satisfied with cancellation law can not be I-semigroups at the same time.

20. The observer design for linear neutral delay systems(NDSs)is investigated based on the spectral decomposition theory of linear operator semigroup.

21. The initial problem for second order linear evolution equation systems is discussed by using the contraction semigroup theory.

22. In this paper, we define the local nilpotent radical of a semigroup having kernel and prove some properties which is similar to rings.

23. This paper is a further effort to investigate the irreducibility of this semigroup.

24. Secondly, the characters of abstract operator are discussed and the operator is proved to be an infinitesimal generator of analytic semigroup.

25. With a left regular band, a right regular band and an adequate semigroup , we discuss a structure theorem of good quasi-adequate semigroups with good adequate transversals.

26. This paper has made some discussions on the finite commutative semigroup. The relationship between the finite commutative semigroup and the finite commutative group is established.

27. Aim In order to prove a semiring whose additive reduct is a semilattice and multiplicative reduct is a inverse semigroup to be a distributive lattice.

28. Existence of strong global attractors for nonclassical diffusion equations Hilbert space using the new semigroup approach.Sentencedict.com

29. In the paper we introduce the concepts of L-trivial, nil ordered semigroups and give every ordered semigroup is L-trivial if and only if the left divisibility relation is an order.

30. Existence of strong global attractors for nonclassical diffusion equations is considered in a stronger Hilbert space using the new semigroup approach.