Results 31 to 40 of about 62,458 (328)
Factor equivalence of Galois modules and regulator constants [PDF]
, 2013 We compare two approaches to the study of Galois module structures: on the one hand factor equivalence, a technique that has been used by Fr\"ohlich and others to investigate the Galois module structure of rings of integers of number fields and of their ...
Bartel, Alex
core +4 more sources
Neutrosophic triplets in some neutrosophic rings
Cumhuriyet Science Journal, 2020 In this paper, some mistakes about the neutrosophic triplets of some neutrosophic rings in the literature are pointed out and corrected. For this purpose, the neutrosophic triplets in neutrosophic rings , and where Z, Q and R denote the ring of ...
Doğukan Ozan, Yilmaz Çeven
doaj +1 more source
Trivial units for group rings over rings of algebraic integers [PDF]
Proceedings of the American Mathematical Society, 2005 Let G G be a nontrivial torsion group and R R be the ring of integers of an algebraic number field. The necessary and sufficient conditions are given under which R G RG has only trivial units.
Herman, Allen, Li, Yuanlin
openaire +1 more source
Rings of Integer-Valued Continuous Functions [PDF]
Transactions of the American Mathematical Society, 1961 During the past twenty years extensive work has been done on the ring C(X). The pioneer papers in the subject are [8] for compact X and [3] for arbitrary X. A significant part of this work has recently been summarized in the book [2]. Concerning the ring C(X, Z), very little has been written. This is natural, since C(X, Z) is less important in problems
openaire +2 more sources
Tripotents: a class of strongly clean elements in rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 Periodic elements in a ring generate special classes of strongly clean elements. In particular, elements b such that b = b3+, which are called tripotents and include idempotents, negative of idempotents and order 2 units, are strongly clean.
Călugăreanu Grigore
doaj +1 more source
On structure of certain periodic rings and near-rings
International Journal of Mathematics and Mathematical Sciences, 2000 The aim of this work is to study a decomposition theorem for rings satisfying either of the properties xy=xpf(xyx)xq or xy=xpf(yxy)xq, where p=p(x,y),q=q(x,y) are nonnegative integers and f(t)∈tℤ[t] vary with the pair of elements x,y, and further ...
Moharram A. Khan
doaj +1 more source
Analysis of the RSA-cryptosystem in abstract number rings
Журнал Белорусского государственного университета: Математика, информатика, 2020 Quantum computers can be a real threat to some modern cryptosystems (such as the RSA-cryptosystem). The analogue of the RSA-cryptosystem in abstract number rings is not affected by this threat, as there are currently no factorization algorithms using ...
Nikita V. Kondratyonok
doaj +1 more source
Sombor index of zero-divisor graphs of commutative rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this paper, we investigate the Sombor index of the zero-divisor graph of ℤn which is denoted by Γ(ℤn) for n ∈ {pα, pq, p2q, pqr} where p, q and r are distinct prime numbers. Moreover, we introduce an algorithm which calculates the Sombor index of Γ(ℤn)
Gürsoy Arif +2 more
doaj +1 more source
Images of Real Representations of $SL_n(Z_p)$
, 2016 In this paper, we investigate abstract homomorphism from the special linear group over complete discrete valuation rings with finite residue field, such as the ring of p-adic integers, into the general linear group over the reals.
Humphreys +3 more
core +1 more source
A class of rings which are algebric over the integers
International Journal of Mathematics and Mathematical Sciences, 1979 A well-known theorem of N. Jacobson states that any periodic associative ring is commutative. Several authors (most notably Kaplansky and Herstein) generalized the periodic polynomial condition and were still able to conclude that the rings under ...
Douglas F. Rall
doaj +1 more source