On commutative principal ideal semigroup rings.
Displaying 1441 – 1460 of 2842
On commutative rings whose maximal ideals are idempotent
Farid Kourki, Rachid Tribak (2019)
Commentationes Mathematicae Universitatis Carolinae
We prove that for a commutative ring , every noetherian (artinian) -module is quasi-injective if and only if every noetherian (artinian) -module is quasi-projective if and only if the class of noetherian (artinian) -modules is socle-fine if and only if the class of noetherian (artinian) -modules is radical-fine if and only if every maximal ideal of is idempotent.
On commutative rings whose prime ideals are direct sums of cyclics
M. Behboodi, A. Moradzadeh-Dehkordi (2012)
Archivum Mathematicum
In this paper we study commutative rings whose prime ideals are direct sums of cyclic modules. In the case is a finite direct product of commutative local rings, the structure of such rings is completely described. In particular, it is shown that for a local ring , the following statements are equivalent: (1) Every prime ideal of is a direct sum of cyclic -modules; (2) where is an index set and is a principal ideal ring for each ; (3) Every prime ideal of is a direct sum of at most...
On Commutative Semigroups of Polynomials with Respect to Composition.
Rudolf Lidl, Winfried B. Müller (1986)
Monatshefte für Mathematik
On composition of formal power series.
Gan, Xiao-Xiong, Knox, Nathaniel (2002)
International Journal of Mathematics and Mathematical Sciences
On constructing resolutions over the polynomial algebras.
Johansson, Leif, Lambe, Larry, Sköldberg, Emil (2002)
Homology, Homotopy and Applications
On constructivizability of the tensor product of modules.
Latkin, I.V. (2002)
Sibirskij Matematicheskij Zhurnal
On coverings of almost Dedekind domains
Štefan Porubský (1976)
Czechoslovak Mathematical Journal
On c-semigroups
Ladislav Skula (1976)
Acta Arithmetica
On curves on rational normal scrolls.
Di Gennaro, R. (2001)
Rendiconti del Seminario Matematico
On Dedekind domains in infinite algebraic extensions
Nicolae Popescu, Constantin Vraciu (1985)
Rendiconti del Seminario Matematico della Università di Padova
On Dedekind's criterion and monogenicity over Dedekind rings.
Charkani, M.E., Lahlou, O. (2003)
International Journal of Mathematics and Mathematical Sciences
On deformation method in invariant theory
Dmitri Panyushev (1997)
Annales de l'institut Fourier
In this paper we relate the deformation method in invariant theory to spherical subgroups. Let be a reductive group, an affine -variety and a spherical subgroup. We show that whenever is affine and its semigroup of weights is saturated, the algebra of -invariant regular functions on has a -invariant filtration such that the associated graded algebra is the algebra of regular functions of some explicit horospherical subgroup of . The deformation method in its usual form, as developed...
On deformations of pasting diagrams.
Yetter, D.N. (2009)
Theory and Applications of Categories [electronic only]
On delta sets and their realizable subsets in Krull monoids with cyclic class groups
Scott T. Chapman, Felix Gotti, Roberto Pelayo (2014)
Colloquium Mathematicae
Let M be a commutative cancellative monoid. The set Δ(M), which consists of all positive integers which are distances between consecutive factorization lengths of elements in M, is a widely studied object in the theory of nonunique factorizations. If M is a Krull monoid with cyclic class group of order n ≥ 3, then it is well-known that Δ(M) ⊆ {1,..., n-2}. Moreover, equality holds for this containment when each class contains a prime divisor from M. In this note, we consider the question of determining...
On differential rational invariants of finite subgroups of affine group.
Bekbaev, Ural (2005)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
On domains with ACC on invertible ideals
Stefania Gabelli (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
If is a domain with the ascending chain condition on (integral) invertible ideals, then the group of its invertible ideals is generated by the set of maximal invertible ideals. In this note we study some properties of and we prove that, if is a free group on , then is a locally factorial Krull domain.
On efficient generation of ideals.
S. Mandal (1984)
Inventiones mathematicae
On endomorphism algebras over admissible Dedekind domains
Giorgio Piva (1988)
Rendiconti del Seminario Matematico della Università di Padova
On endomorphisms of multiplication and comultiplication modules
H. Ansari-Toroghy, F. Farshadifar (2008)
Archivum Mathematicum
Let be a ring with an identity (not necessarily commutative) and let be a left -module. This paper deals with multiplication and comultiplication left -modules having right -module structures.