EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1 Next

Displaying 1 – 20 of 40

A Change of Ring Theorem with Applications to Poincaré Series and Intersection Multiplicity.

Tor H. Gulliksen (1974)

Mathematica Scandinavica

A class of multiplicative lattices

Tiberiu Dumitrescu, Mihai Epure (2021)

Czechoslovak Mathematical Journal

We study the multiplicative lattices $L$ which satisfy the condition $a = (a : (a : b)) (a : b)$ for all $a, b \in L$ . Call them sharp lattices. We prove that every totally ordered sharp lattice is isomorphic to the ideal lattice of a valuation domain with value group $ℤ$ or $ℝ$ . A sharp lattice $L$ localized at its maximal elements are totally ordered sharp lattices. The converse is true if $L$ has finite character.

A class of torsion-free abelian groups characterized by the ranks of their socles

Ulrich F. Albrecht, Anthony Giovannitti, H. Pat Goeters (2002)

Czechoslovak Mathematical Journal

Butler groups formed by factoring a completely decomposable group by a rank one group have been studied extensively. We call such groups, bracket groups. We study bracket modules over integral domains. In particular, we are interested in when any bracket $R$ -module is $R$ tensor a bracket group.

A common generalization of fuzzy primes

Naser Zamani, Zeinab Rezaei (2013)

Matematički Vesnik

A criterion for detecting m-regularity.

D. Bayer, M. Stillman (1987)

Inventiones mathematicae

A full uniform Artin-Rees theorem.

L. O'Carroll, A.J. Duncan (1989)

Journal für die reine und angewandte Mathematik

A generalization of semiflows on monomials

Hamid Kulosman, Alica Miller (2012)

Mathematica Bohemica

Let $K$ be a field, $A = K [X_{1}, \dots, X_{n}]$ and $𝕄$ the set of monomials of $A$ . It is well known that the set of monomial ideals of $A$ is in a bijective correspondence with the set of all subsemiflows of the $𝕄$ -semiflow $𝕄$ . We generalize this to the case of term ideals of $A = R [X_{1}, \dots, X_{n}]$ , where $R$ is a commutative Noetherian ring. A term ideal of $A$ is an ideal of $A$ generated by a family of terms $c X_{1}^{μ_{1}} \dots X_{n}^{μ_{n}}$ , where $c \in R$ and $μ_{1}, \dots, μ_{n}$ are integers $\geq 0$ .

A graph associated to proper non-small ideals of a commutative ring

S. Ebrahimi Atani, S. Dolati Pish Hesari, M. Khoramdel (2017)

Commentationes Mathematicae Universitatis Carolinae

In this paper, a new kind of graph on a commutative ring is introduced and investigated. Small intersection graph of a ring $R$ , denoted by $G (R)$ , is a graph with all non-small proper ideals of $R$ as vertices and two distinct vertices $I$ and $J$ are adjacent if and only if $I \cap J$ is not small in $R$ . In this article, some interrelation between the graph theoretic properties of this graph and some algebraic properties of rings are studied. We investigated the basic properties of the small intersection graph as diameter,...