Previous |  Up |  Next

Article

References:
[An] A. Anjaneyulu: On primary semigroups. Czech. Math. J. 30 (1980), 382–386. MR 0583619 | Zbl 0447.20045
[Ge1] A. Geroldinger: The complete integral closure of monoids and domains. PU.M.A. 4 (1993), 147–165. MR 1270425 | Zbl 0805.20055
[Ge2] A. Geroldinger: T-block monoids and their arithmetical applications to certain integral domains. Comm. Algebra 22 (1994), 1603–1615. DOI 10.1080/00927879408824924 | MR 1264730 | Zbl 0809.13013
[G-HK] A. Geroldinger and F. Halter-Koch: Arithmetical theory of monoid homomorphisms. Semigroup Forum 48 (1994), 333–362. DOI 10.1007/BF02573682 | MR 1262998
[G-HK-L] A. Geroldinger, F. Halter-Koch and G. Lettl: The complete integral closure of monoids and domains II. Rendiconti di Matematica (Roma) 15 (1995), 281–292. MR 1339245
[G-L] A. Geroldinger and G. Lettl: Factorization problems in semigroups. Semigroup Forum 40 (1990), 23–38. DOI 10.1007/BF02573249 | MR 1014223
[Gi1] R. Gilmer: Multiplicative ideal theory. Queen’s Papers (1992). MR 1204267 | Zbl 0804.13001
[Gi2] R. Gilmer: Commutative semigroup rings. The University of Chicago Press (1984). MR 0741678 | Zbl 0566.20050
[HK1] F. Halter-Koch: Divisor theories with primary elements and weakly Krull domains. Boll. U. M. I. 9-B (1995), 417–441. MR 1333970 | Zbl 0849.20041
[HK2] F. Halter-Koch: Elasticity of factorizations in atomic monoids and integral domains. J. Th. Nombres Bordeaux 7 (1995), 367–385. DOI 10.5802/jtnb.147 | MR 1378586 | Zbl 0844.11068
[HK3] F. Halter-Koch: The integral closure of a finitely generated monoid and the Frobenius problem in higher dimensions. Semigroups, edited by C. Bonzini, A.  Cherubini and C. Tibiletti, World Scientific (1993), 86–93. MR 1647172 | Zbl 0818.20079
[HK4] F. Halter-Koch: Finiteness theorems of factorizations. Semigroup Forum 44 (1992), 112–117. DOI 10.1007/BF02574329 | MR 1138690
[HK5] F. Halter-Koch: Zur Zahlen- und Idealtheorie eindimensionaler noetherscher Integritätsbereiche. J. Algebra 136 (1991), 103–108. DOI 10.1016/0021-8693(91)90068-J | MR 1085124 | Zbl 0743.13001
[Hu] H.C. Hutchins: Examples of commutative rings. Polygonal Publishing House (1981). MR 0638720 | Zbl 0492.13001
[Kap] I. Kaplansky: Commutative rings. Allyn and Bacon (1970). MR 0254021 | Zbl 0203.34601
[Kar] G. Karpilovsky: Field theory. Marcel Dekker (1988). MR 0972982 | Zbl 0677.12010
[Ma] H. Matsumura: Commutative ring theory. Cambridge University Press (1986). MR 0879273 | Zbl 0603.13001
[Ne] J. Neukirch: Algebraische Zahlentheorie. Springer (1992). Zbl 0747.11001
[Pe] M. Petrich: Introduction to semigroups. Charles E. Merrill Publishing Co. (1973). MR 0393206 | Zbl 0321.20037
[Sa] M. Satyanarayana: Commutative primary semigroups. Czech. Math. J. 22 (1972), 509–516. MR 0308304 | Zbl 0248.20072
[Ta] T. Tamura: Basic study of $N$-semigroups and their homomorphisms. Semigroup Forum 8 (1974), 21–50. DOI 10.1007/BF02194744 | MR 0374307
Partner of
EuDML logo