Affine semigroup rings are of finite F-representation type

2017 ◽  
Vol 45 (12) ◽  
pp. 5465-5470
Author(s):  
Takafumi Shibuta
Keyword(s):  
Representation Type ◽  
Semigroup Rings ◽  
Affine Semigroup

Dualizing Complexes of Affine Semigroup Rings

1990 ◽  
Vol 322 (2) ◽  
pp. 561 ◽  
Author(s):  
Uwe Schafer ◽  
Peter Schenzel
Keyword(s):  
Semigroup Rings ◽  
Affine Semigroup ◽  
Dualizing Complexes

scholarly journals Divisor class groups of affine semigroup rings associated with distributive lattices

1992 ◽  
Vol 149 (2) ◽  
pp. 352-357 ◽  
Author(s):  
Mitsuyasu Hashimoto ◽  
Takayuki Hibi ◽  
Atsushi Noma
Keyword(s):  
Distributive Lattices ◽  
Semigroup Rings ◽  
Class Groups ◽  
Divisor Class ◽  
Affine Semigroup

scholarly journals On Segre products of affine semigroup rings

1988 ◽  
Vol 110 ◽  
pp. 113-128 ◽  
Author(s):  
Lê Tuân Hoa
Keyword(s):  
Positive Integer ◽  
Polynomial Ring ◽  
Semigroup Ring ◽  
Semigroup Rings ◽  
Finitely Generated ◽  
Affine Semigroup

Let N denote the set of non-negative integers. An affine semigroup is a finitely generated submonoid S of the additive monoid Nm for some positive integer m. Let k[S] denote the semigroup ring of S over a field k. Then one can identify k[S] with the subring of a polynomial ring k[t1, …, tm] generated by the monomials .

The Gorenstein property depends upon characteristic for affine semigroup rings

1991 ◽  
Vol 56 (3) ◽  
pp. 228-235 ◽  
Author(s):  
L� Tu�n Hoa
Keyword(s):  
Semigroup Rings ◽  
Affine Semigroup

scholarly journals Measuring the non-Gorenstein locus of Hibi rings and normal affine semigroup rings

2019 ◽  
Vol 540 ◽  
pp. 78-99 ◽  
Author(s):  
Jürgen Herzog ◽  
Fatemeh Mohammadi ◽  
Janet Page
Keyword(s):  
Semigroup Rings ◽  
Affine Semigroup

On the structure of simplicial affine semigroups

2000 ◽  
Vol 130 (5) ◽  
pp. 1017-1028 ◽  
Author(s):  
J. C. Rosales ◽  
P. A. García-Sánchez
Keyword(s):  
Upper Bound ◽  
Structure Theorem ◽  
Semigroup Rings ◽  
Affine Semigroups ◽  
Affine Semigroup

We give a structure theorem for simplicial affine semigroups. From this result we deduce characterizations of some properties of semigroup rings of simplicial affine semigroups. We also compute an upper bound for the cardinality of a minimal presentation of a simplicial affine semigroup.

scholarly journals Castelnuovo–Mumford regularity of seminormal simplicial affine semigroup rings

2012 ◽  
Vol 368 ◽  
pp. 345-357 ◽  
Author(s):  
Max Joachim Nitsche
Keyword(s):  
Semigroup Rings ◽  
Affine Semigroup

scholarly journals Defining Ideals of Affine Semigroup Rings of Codimension 2

1996 ◽  
Vol 184 (3) ◽  
pp. 1161-1174 ◽  
Author(s):  
Kazufumi Eto
Keyword(s):  
Semigroup Rings ◽  
Affine Semigroup

scholarly journals Dualizing complexes of seminormal affine semigroup rings and toric face rings

2015 ◽  
Vol 425 ◽  
pp. 367-391 ◽  
Author(s):  
Kohji Yanagawa
Keyword(s):  
Semigroup Rings ◽  
Affine Semigroup ◽  
Dualizing Complexes

Affine semigroup rings and monomial varieties

1996 ◽  
Vol 24 (7) ◽  
pp. 2463-2471
Author(s):  
Apostolos Thoma
Keyword(s):  
Semigroup Rings ◽  
Affine Semigroup
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