JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2024, Vol. 59 ›› Issue (4): 31-37.doi: 10.6040/j.issn.1671-9352.0.2022.368
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1 | ZHAO X Z , SHUM K P , GUO Y Q . $\mathscr{L}$-subvarieties of the variety of idempotent semirings[J]. Algebra Universalis, 2001, 46 (1/2): 75- 96. |
2 | HOWIE J M . Fundamentals of semigroup theory[M]. Oxford: Oxford Science Publication, 1995. |
3 | PETRICH M , REILLY N R . Completely regular semigroup[M]. New York: Wiley, 1999. |
4 | ZHAO X Z , GUO Y Q , SHUM K P . $\mathscr{D}$-subvarieties of the variety of idempotent semirings[J]. Algebra Colloquium, 2002, 9 (1): 15- 28. |
5 | PASTIJN F , ZHAO X Z . Green's $\mathscr{D}$-relation for the multiplicative reduct of an idempotent semiring[J]. Archivam Mathematicum(Brno), 2000, 36 (2): 77- 93. |
6 | 练利锋. 半环类CR(n, 1)上的格林$\mathscr{D}$-关系[J]. 兰州理工大学学报, 2019, 45 (3): 164- 167. |
LIAN Lifeng . Green's $\mathscr{D}$-relation on a semiring CR(n, 1)[J]. Journal of Lanzhou University of Technology, 2019, 45 (3): 164- 167. | |
7 | 王爱法. 满足某些恒等式的半环上的格林关系[J]. 西南大学学报(自然科学版), 2017, 39 (12): 67- 73. |
WANG Aifa . Green's relations in semirings satisfying some identities[J]. Journal of Southwest University (Natural Science Edition), 2017, 39 (12): 67- 73. | |
8 | 王俊玲, 邵勇. 一类乘法幂等半环的格林关系[J]. 山东大学学报(理学版), 2022, 57 (6): 15- 22. |
WANG Junling , SHAO Yong . Green's relations on a class of semiring which multiplicative reduct is an idempotent semigroup[J]. Journal of Shandong University(Natural Science), 2022, 57 (6): 15- 22. | |
9 | XIAN Xuliang , SHAO Yong , WANG Junling . Some subvarieties of semiring variety COS3+[J]. AIMS Mathematics, 2022, 7 (3): 4293- 4303. |
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