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Original Articles

NOETHERIAN UNIQUE FACTORIZATION SEMIGROUP ALGEBRAS

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Pages 5701-5715 | Received 01 Jun 2000, Published online: 16 Aug 2006

REFERENCES

  • Brown , K. A. 1985 . Height One Primes of Polycyclic Group Rings . J. London Math. Soc. , 32 ( 2 ) : 436 – 438 .
  • Brown , K. A. 1986 . Class Groups and Automorphism Groups of Group Rings . Glasgow Math. J. , 28 : 79 – 86 .
  • Chatters , A. W. 1986 . Unique Factorisation in P.I. Group-rings . J. Austral. Math. Soc. , 59 ( Series A ) : 232 – 243 .
  • Chatters , A. W. and Clark , J. 1991 . Group Rings Which are Unique Factorisation Rings . Comm. Algebra , 19 ( 2 ) : 585 – 598 .
  • Chatters , A. W. , Gilchrist , M. P. and Wilson , D. 1992 . Unique Factorisation Rings . Proceedings of Edinburgh Mathematical Society , 35 : 255 – 269 .
  • Chatters , A. W. and Jordan , D. A. 1986 . Non-commutative Unique Factorisation Rings . J. London Math. Soc. , 33 ( 2 ) : 22 – 33 .
  • Cohn , P. M. 1985 . Free Rings and Their Relations London : Academic Press Inc. Ltd. .
  • Gilmer , R. 1984 . Commutative Semigroup Algebras Chicago and London : The University of Chicago Press .
  • Jespers , E. and Okniński , J. 1994 . Nilpotent Semigroups and Semigroup Algebras . J. Algebra , 169 ( 3 ) : 984 – 1011 .
  • Jespers , E. and Okniński , J. 1996 . Semigroup Algebras that are Principal Ideal Rings . J. Algebra , 183 : 837 – 863 .
  • Jespers , E. and Okniński , J. 1998 . Binomial Semigroups . J. Algebra , 202 ( 1 ) : 250 – 275 .
  • Jespers , E. and Okniński , J. 1999 . Semigroup Algebras and Maximal Orders . Canadian Mathematical Bulletin , 42 ( 3 ) : 298 – 306 .
  • Jespers , E. and Okniński , J. 1999 . Noetherian Semigroup Algebras . J. Algebra , 218 ( 2 ) : 543 – 562 .
  • Jespers , E. and Okniński , J. in press . Submonoids of Polycyclic-by-Finite Groups and Their Algebras . Algebras and Representation Theory ,
  • Jordan , D. A. 1989 . Unique Factorisation of Normal Elements in Non-commutative Rings . Glasgow Math. J. , 31 : 103 – 113 .
  • MacKenzie , K. W. 1994 . Polycyclic Group Rings and Unique Factorisation Rings . Glasgow Math. J. , 36 : 135 – 144 .
  • Menal , P. 1981 . The Monoid Rings that are Bezout Domains . Arch. Math. , 37 : 43 – 47 .
  • Okniński , J. 1991 . Semigroup Algebras New York : Marcel Dekker .
  • Passman , D. S. 1989 . Infinite Crossed Products New York : Academic Press .
  • Wauters , P. 1984 . On Some Subsemigroups of Noncommutative Krull Rings . Comm. Algebra , 12 ( 14 ) : 1751 – 1765 .
  • Wauters , P. 1999 . The Semicentre of a Group Algebra . Proc. Edin. Math. Soc. , 42 : 95 – 111 .

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