Results 31 to 40 of about 9,527,915 (298)
On Idempotent Units in Commutative Group Rings
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
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]
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
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
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On the primitive irreducible representations of finitely generated nilpotent groups
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
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Pathological modules over tame rings [PDF]
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?
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
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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
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
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Integral group ring of the first Mathieu simple group [PDF]
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

