S-Noetherian Rings of the Forms 𝒜[X] and 𝒜[[X]]

REFERENCES

• Anderson , D. D. , Dumitrescu , T. ( 2002 ). S − Noetherian rings . Com. Alg. 30 ( 9 ): 4407 – 4416 .
   Web of Science ®Google Scholar
• Anderson , D. D. , Kang , B. G. , Park , M. H. ( 1998 ). Anti-Archimedean rings and power series rings . Com. Alg. 26 ( 10 ): 3223 – 3238 .
   Web of Science ®Google Scholar
• D'Anna , M. , Finocchiaro , C. A. , Fontana , M. ( 2010 ). Properties of chains of prime ideals in an amalgamated algebra along an ideal . J. Pure. Appl. Alg. 214 ( 9 ): 1633 – 1641 .
   Web of Science ®Google Scholar
• D'Anna , M. , Finocchiaro , C. A. , Fontana , M. (2009). Amalgamated algebras along an ideal. In: Com. Alg. Appl. Proc. of the Fifth International Fez Conference on Commutative Algebra and Applications . Fez, Morocco, June 23–28, 2009. Berlin : Walter de Gruyter, pp. 155–172.
   Google Scholar
• Hamann , E. , Houston , E. , Johnson , J. L. ( 1995 ). Properties of uppers to zero in R[X] . Com. Alg. 23 : 4861 – 4883 .
   Google Scholar
• Haouat , Y. ( 1988 ). Thèse de doctorat. Faculté des Sciences de Tunis .
   Google Scholar
• Jiao , Y. J. , Zhang , S. G. ( 2009 ). S-Noetherianess of A + XB[[X]] . J. Shando Univ. (Natural Science) 44 ( 8 ): 58 – 61 .
   Google Scholar
• Lim , J. W. , Oh , D. Y. ( 2014 ). S − Noetherian properties on amalgamated algebras along an ideal . J. Pure Appl. Algebra 218 : 1075 – 1080 .
   Web of Science ®Google Scholar
• Communicated by S. Bazzoni.
   Google Scholar