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Jespers, Eric; Okniński, Jan. Semigroup Algebras and Maximal Orders. Canadian mathematical bulletin, Tome 42 (1999) no. 3, pp. 298-306. doi: 10.4153/CMB-1999-036-2
@article{10_4153_CMB_1999_036_2,
author = {Jespers, Eric and Okni\'nski, Jan},
title = {Semigroup {Algebras} and {Maximal} {Orders}},
journal = {Canadian mathematical bulletin},
pages = {298--306},
year = {1999},
volume = {42},
number = {3},
doi = {10.4153/CMB-1999-036-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-036-2/}
}
[1] [1] Anderson, D. F., The divisor class group of a semigroup ring. Comm. Algebra (5) 8 (1980), 467–476. Google Scholar
[2] [2] Brown, K. A., Height one primes of polycyclic group rings. J. London Math. Soc. Ser. 2 (3) 32 (1985), 426–438. Google Scholar
[3] [3] Chouinard, L. G. II, Krull semigroups and divisor class groups. Canad. J. Math. 23 (1981), 1459–1468. Google Scholar
[4] [4] Clifford, A. H. and Preston, G. B., The Algebraic Theory of Semigroups, Vol. I. Amer. Math. Soc., Providence, RI, 1961. Google Scholar
[5] [5] Gateva-Ivanova, T. and den Bergh, M. Van, Semigroups of I-type. J. Algebra (1) 206 (1998), 97–112. Google Scholar
[6] [6] Gilmer, R., Commutative Semigroup Rings. University of Chicago Press, 1984. Google Scholar
[7] [7] Jespers, E. and Okniński, J., Nilpotent semigroups and semigroup algebras. J. Algebra (3) 169 (1994), 984–1011. Google Scholar
[8] [8] Jespers, E. and Okniński, J., Semigroup algebras that are principal ideal rings. J. Algebra 183 (1996), 837–863. Google Scholar
[9] [9] Jespers, E. and Okniński, J., Binomial semigroups. J. Algebra (1) 202 (1998), 250–275. Google Scholar
[10] [10] Jespers, E. and Okniński, J., Noetherian semigroup algebras. J. Algebra, to appear. Google Scholar
[11] [11] Jespers, E. and Okniński, J., On a class of Noetherian algebras. Proc. Roy. Soc. Edinburgh Sect. A, to appear. Google Scholar
[12] [12] Jespers, E. and Wauters, P., Principal ideal semigroup rings. Comm. Algebra 23 (1995), 5057–5076. Google Scholar
[13] [13] Kargapolov, M. I. and Merzljakov, Ju. I., Fundamentals of the Theory of Groups. Springer-Verlag, New York, 1979. Google Scholar
[14] [14] Marubayashi, H., Zhang, Y. and Yang, P., On the rings of theMorita context which are some well-known orders. Comm. Algebra (5) 26 (1998), 1429–1444. Google Scholar
[15] [15] McConnell, J. C. and Robson, J. C., Noncommutative Noetherian Rings. Wiley Interscience, New York, 1987. Google Scholar
[16] [16] Okniński, J., Semigroup Algebras. Marcel Dekker, 1991. Google Scholar
[17] [17] Wauters, P.,On some subsemigroups of noncommutative Krull rings. Comm. Algebra (13–14) 12 (1984), 1751–1765. Google Scholar
[18] [18] Wauters, P. and Jespers, E., Rings graded by an inverse semigroup with finitely many idempotents. Houston J. Math. (2) 15 (1989), 291–304. Google Scholar
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