Completely Archimedean Semirings
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2018, Vol 38, Issue 1
Abstract
In this paper we give a structural description of completely Archimedean semirings which is an extension of the structure theorem of completely Archimedean semigroups.
Authors and Affiliations
Sunil K. Maity, Rumpa Chatterjee
Keywords
Related Articles
- EP ID EP394540
- DOI 10.7151/dmgaa.1282
- Views 41
- Downloads 0
ON THE ASSOCIATED PRIME IDEALS OF LOCAL COHOMOLOGY MODULES DEFINED BY A PAIR OF IDEALS
Let I and J be two ideals of a commutative Noetherian ring R and M be an R-module. For a non-negative integer n it is shown that, if the sets AssR(Extn R(R/I, M)) and SuppR(ExtiR(R/I, Hj I,J(M))) are finite for all i ≤ n...
Note on Ideal Based Zero-Divisor Graph of a Commutative Ring
In this paper, we consider the ideal based zero divisor graph I (R) of a commutative ring R. We discuss some graph theoretical properties of I (R) in relation with zero divisor graph. We also relate certain parameters...
ON A PERIOD OF ELEMENTS OF PSEUDO-BCI-ALGEBRAS
The notions of a period of an element of a pseudo-BCI-algebra and a periodic pseudo-BCI-algebra are defined. Some of their properties and characterizations are given.
A Note on Additive Groups of Some Specific Torsion-Free Rings of Rank Three and Mixed Associative Rings
It is studied how rank two pure subgroups of a torsion-free Abelian group of rank three influences its structure and type set. In particular, the criterion for such a subgroup B to be a direct summand of a torsion-free A...
DEVELOPED ZARISKI TOPOLOGY-GRAPH
In this paper, we introduce the developed Zariski topology-graph associated to an R-module M with respect to a subset X of the set of all quasi-prime submodules of M and investigate the relationship between the algebraic...