Results 21 to 30 of about 823,935 (279)
Open Set Lattices of Subspaces of Spectrum Spaces
Demonstratio Mathematica, 2015 We take a unified approach to study the open set lattices of various subspaces of the spectrum of a multiplicative lattice L. The main aim is to establish the order isomorphism between the open set lattice of the respective subspace and a sub-poset of L.
Nai Y.T., Zhao D.
doaj +1 more source
On the prime graph of simple groups [PDF]
, 2014 Let $G$ be a finite group, let $\pi(G)$ be the set of prime divisors of $|G|$ and let $\Gamma(G)$ be the prime graph of $G$. This graph has vertex set $\pi(G)$, and two vertices $r$ and $s$ are adjacent if and only if $G$ contains an element of order $rs$
Burness, Timothy C., Covato, Elisa
core +1 more source
Prime elements and prime sequences in polynomial rings [PDF]
Proceedings of the American Mathematical Society, 1978 The central question of this note concerns the existence of prime elements in polynomial rings. In it are established for polynomial rings over arbitrary noetherian rings—insofar as is generally possible—certain results concerning bases for maximal ideals, well known for polynomial rings over fields and principal ideal domains.
openaire +2 more sources
On Order Prime Divisor Graphs of Finite Groups
Discussiones Mathematicae - General Algebra and Applications, 2021 The order prime divisor graph 𝒫𝒟(G) of a finite group G is a simple graph whose vertex set is G and two vertices a, b ∈ G are adjacent if and only if either ab = e or o(ab) is some prime number, where e is the identity element of the group G and o(x ...
Sen Mridul K. +2 more
doaj +1 more source
On Power Graph of Some Finite Rings [PDF]
Mathematics Interdisciplinary Research, 2023 Consider a ring $R$ with order $p$ or $p^2$, and let $\mathcal{P}(R)$ represent its multiplicative power graph. For two distinct rings $R_1$ and $R_2$ that possess identity element 1, we define a new structure called the unit semi-cartesian ...
Masoumeh Soleimani, Mohamad Hasan Naderi
doaj +1 more source
Nucleon spin structure,topological susceptibility and the $\eta^\prime$ singlet axial vector coupling [PDF]
, 1996 The observed small value of the first moment of the polarized nucleon spin structure function $g_1$ may be interpreted, in the Veneziano--Shore approach, as a suppression of the first moment $\chi^\prime(0)$ of the QCD topological susceptibility.
Altarelli +28 more
core +2 more sources
On prime rings with commuting nilpotent elements [PDF]
Proceedings of the American Mathematical Society, 2009 An open question of Herstein asks whether a simple ring in which all nilpotent elements commute must have no nonzero nilpotent elements. The authors, addressing this question in the context of prime rings, show that a prime ring \(R\) with commuting nilpotent elements has no nonzero nilpotent elements if it satisfies one of the following conditions: (i)
Chebotar, M. A. +2 more
openaire +2 more sources
Notes on the spatial part of a frame [PDF]
Categories and General Algebraic Structures with ApplicationsA locale (frame) L has a largest spatial sublocale generated by the primes (spectrum points), the spatial part SpL. In this paper we discuss some of the properties of the embeddings SpL ⊆ L.
Igor Arrieta, Jorge Picado, Ales Pultr
doaj +1 more source
Projective prime ideals and localisation in pi-rings [PDF]
, 2001 The results here generalise [2, Proposition 4.3] and [9, Theorem 5.11]. We shall prove the following. THEOREM A. Let R be a Noetherian PI-ring. Let P be a non-idempotent prime ideal of R such that PR is projective. Then P is left localisable and RP is
Chatters, A. W. +2 more
core +1 more source
Certain Generalized Prime elements
International Journal of Advanced engineering, Management and Science, 2017 In this paper we study different generalizations of prime elements and prove certain properties of these elements.
C. S. Manjarekar, A. N. Chavan
openaire +1 more source