孔祥智，付世運

?

孔祥智，付世運

（江南大學 理學院，江蘇 無錫 214122）

半格分解；同余；同態(tài)

1 引言與主要結果陳述

2 引理與主要定理的證明

2.1 定理1的證明

2.2 定理2的證明

[1] CLIFFORD A H, PRESTON G B. The algebraic theory of semigroups[M]. New York: American Mathematical Society, 1967: 98-120.

[2] HOWIE J M. Fundamental of semigroup theory[M]. Oxford: Clarendon Press, 1995: 56-73.

[3] PETRICH M, REILLY, N R. Completely regular semigroups[M]. New York: John Wiley & Sons, 1999: 162-197.

[4] CLIFFORD A H. Semigroups admitting relative inverses[J]. Ann of Math, 1941, 42: 1037-1049.

[5] PETRIEH M. The structure of completely regular semigroups[J]. Trans Amer Math Soc, 1974, 189: 211-236.

[6] PETRIC M. Lectures in semigroups[M]. London: Wiley & Sons Inc, 1976: 124-156.

[7] FOUNTAIR J B. Abundant semigroups[J]. Proc London Math Soc, 1982, 43(3): 103-129.

[8] PASTIJN F. A representation of a semigroup by a semigroup of matrices over a group with zero[J]. Semigroup Forum, 1975, 10: 238-249.

[9] LAWSON M V. Rees matrix semigroups[J]. Proc of the Edinburgh Math Soc, 1990, 33: 23-39.

[10] GUO Yuqi, SHUM K P, GONG Chunmei. On (., ~)-Green’s relations and ortho-lc-monoids[J]. Comm Alg, 2011, 39(1): 5-31.

KONGXiang-zhi, FUShi-yun

(School of Science, Jiangnan University, Wuxi 214122, China)

semialttice decomposition; congruence; homomorphism

1006-7302（2012）01-0006-05

O152.7

A

2011-05-20

國家自然科學基金資助項目（No.10871161）；江南大學PIRTJiangnan資助項目（LX001）

孔祥智（1971—），男，山東單縣人，教授，博士，從事半群代數(shù)理論的研究.