Results 51 to 60 of about 180 (160)

SEMIGROUP RINGS AS H-DOMAINS [PDF]

open access: yesKorean Journal of Mathematics, 2011
Summary: Let \(D\) be an integral domain, \(S\) be a torsion-free grading monoid such that the quotient group of \(S\) is of type \((0, 0, 0, \dots)\), and \(D[S]\) be the semigroup ring of \(S\) over \(D\). We show that \(D[S]\) is an H-domain if and only if \(D\) is an H-domain and each maximal \(t\)-ideal of \(S\) is a \(v\)-ideal. We also show that
openaire   +1 more source

A Generalization of Source of Semiprimeness

open access: yesJournal of New Theory
This paper characterizes the semigroup ideal $\mathcal{L}_{R}^{n}(I)$ of a ring $R$, where $I$ is an ideal of $R$, defined by $\mathcal{L}_{R}^{0}(I)=I$ and $\mathcal{L}_{R}^{n}(I)=\{a\in R \mid aRa\subseteq \mathcal{L}_{R}^{n-1}(I)\}$, for all $n\in ...
Çetin Camcı   +3 more
doaj   +1 more source

Free subsemigroups in automorphism group of a polynomial ring of two variables over number fields

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2011
Sufficient conditions under which the semigroup generated by twoautomorphism of the polynomial ring in two variables over a number field P will be free are given. The set of free finitely generated subsemigroups of the triangle automorphism subgroup in
Zh. I. Dovghey, M. I. Sumaryuk
doaj  

Units of Integral Semigroup Rings

open access: yesJournal of Algebra, 1996
The unit group \(U(\mathbb{Z}[S])\) of the integral semigroup ring \(\mathbb{Z}[S]\) of a finite semigroup \(S\), such that the rational semigroup algebra \(\mathbb{Q}[S]\) is semisimple, is studied. It is shown that the set of so called Bass cyclic units and bicyclic units generates a subgroup of finite index in \(U(\mathbb{Z}[S])\) provided that the ...
Jespers, Eric, Wang, D.y.
openaire   +3 more sources

On the arithmetic of stable domains. [PDF]

open access: yesCommun Algebra, 2021
Bashir A, Geroldinger A, Reinhart A.
europepmc   +1 more source

Semigroup gradings on associative rings

open access: yesAdvances in Applied Mathematics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bahturin, Y.A., Zaicev, M.V.
openaire   +1 more source

On new symbolic key exchange protocols and cryptosystems based on a hidden tame homomorphism

open access: yesДоповiдi Нацiональної академiї наук України
Multivariate cryptosystems are divided into public rules, for which tools of encryption are open for users and systems of the El Gamal type, for which the encryption function is not given in public, and, for its generation, the opponent has to solve a ...
V.A. Ustimenko
doaj   +1 more source

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