Results 31 to 40 of about 9,527,915 (298)

On Idempotent Units in Commutative Group Rings

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020
Special elements as units, which are defined utilizing idempotent elements, have a very crucial place in a commutative group ring. As a remark, we note that an element is said to be idempotent if r^2=r in a ring. For a group ring RG, idempotent units are
Ömer Küsmüş
doaj   +1 more source

Public Key Protocols over Skew Dihedral Group Rings

open access: yesMathematics, 2022
This paper introduces skew dihedral group rings and their applications for public-key cryptography. We present a specific skew group ring that is the underlying algebraic platform for our cryptographic constructions.
Javier de la Cruz   +2 more
doaj   +1 more source

Structure of normal twisted group rings [PDF]

open access: yes, 1997
Let K(lambda)G be the twisted group ring of a group G over a commutative ring K with 1, and let lambda be a factor set (2-cocycle) of G over K. Suppose f:G —> U(K) is a map from G onto the group of units U(K) of the ring K satisfying f(1) = 1.
Bódi, Viktor
core   +1 more source

On Galois projective group rings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1991
Let A be a ring with 1, C the center of A and G′ an inner automorphism group of A induced by {Uα in ​A/α in a finite group G whose order is invertible}.
George Szeto, Linjun Ma
doaj   +1 more source

On the primitive irreducible representations of finitely generated nilpotent groups

open access: yesДоповiдi Нацiональної академiї наук України, 2021
We develop some tecniques whish allow us to apply the methods of commutative algebra for studing the representations of nilpotent groups. Using these methods, in particular, we show that any irreducible representation of a finitely generated nilpotent ...
A.V. Tushev
doaj   +1 more source

Pathological modules over tame rings [PDF]

open access: yes, 1976
Brenner S, Ringel CM. Pathological modules over tame rings. Journal of the London Mathematical Society.
Ringel, Claus Michael, Brenner, Sheila
core   +1 more source

When are the natural embeddings of classical invariant rings pure?

open access: yesForum of Mathematics, Sigma, 2023
Consider a reductive linear algebraic group G acting linearly on a polynomial ring S over an infinite field; key examples are the general linear group, the symplectic group, the orthogonal group, and the special linear group, with the classical ...
Melvin Hochster   +3 more
doaj   +1 more source

Early Body Mass Index z‐Score Change and Resolution of Severe Malnutrition in Children With Sickle Cell Anemia in a Low‐Income Setting: A Prospective Single‐Arm Extension Study

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Children with sickle cell anemia (SCA) in low‐income settings are at risk of severe malnutrition, but optimal nutritional management has not been established. We evaluated an intensified ready‐to‐use therapeutic food (RUTF) regimen in children with persistent severe malnutrition after initial treatment and assessed whether early ...
Safiya Gambo   +9 more
wiley   +1 more source

Generalizations of Morphic Group Rings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
An element a in a ring R is called left morphic if there exists b∈R such that 1R(a)=Rb and 1R(b)=Ra. R is called left morphic if every element of R is left morphic.
Libo Zan, Jianlong Chen, Qinghe Huang
doaj   +1 more source

Integral group ring of the first Mathieu simple group [PDF]

open access: yes, 2007
We investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the simple Mathieu group M11.
Bódi, Viktor   +5 more
core   +2 more sources

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