Results 11 to 20 of about 995,884 (279)
Total Colouring of New Classes of Subcubic graphs
Theory and Applications of Graphs, 2022 The total chromatic number of a graph $G$, denoted $\chi^{\prime\prime}(G)$, is the least number of colours needed to colour the vertices and the edges of $G$ such that no incident or adjacent elements (vertices or edges) receive the same colour.
Sethuraman G, Velankanni Anthonymuthu
doaj +1 more source
The prime state ideal theorem in state residuated lattices [PDF]
Categories and General Algebraic Structures with Applications, 2023 The aim of this paper is to establish the prime state ideal theorem in state residuated lattices (SRLs). We study the state ideals lattice $\mathcal{SI}(L)$ of astate residuated lattice $(L, \varphi)$ andprove that it is a complete Brouwerian lattice ...
Francis Woumfo +2 more
doaj +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 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
On the prime divisors of elements of a $D(-1)$ quadruple [PDF]
, 2013 We show that if {1, b, c, d} is a D(-1) diophantine quadruple with ...
Anitha Srinivasan, Filipin, Ribenboim
core +3 more sources
Strongly Semiunits and Tri-Regular Elements in Rings [PDF]
Eurasian Journal of Science and Engineering, 2018 In this paper we study semiunit elements in the group ring Z2G, where G is a cyclic group and we introduce and discuss strongly semiunit elements in Zn, for n=p, 2p, p2 where p is an odd prime.
Parween Ali Hummadi , Suham Hamad Awla
doaj +1 more source
Epimorphisms between finite MV-algebras [PDF]
Mathematica Bohemica, 2017 MV-algebras were introduced by Chang to prove the completeness of the infinite-valued Łukasiewicz propositional calculus. Recently, algebraic theory of MV-algebras has been intensively studied.
Aldo V. Figallo, Marina B. Lattanzi
doaj +1 more source
The generic character table of a Sylow $p$-subgroup of a finite Chevalley group of type $D_4$ [PDF]
, 2017 Let $U$ be a Sylow $p$-subgroup of the finite Chevalley group of type $D_4$ over the field of $q$ elements, where $q$ is a power of a prime $p$. We describe a construction of the generic character table of $U$
Carter R. W. +4 more
core +2 more sources
Weakly Prime Elements in Multiplicative Lattices
Communications in Algebra, 2012 In this article, we study weakly prime elements and almost prime elements in multiplicative lattices. Next we characterize weak π-lattices and weak principal element lattices. We also establish new characterizations for π-domains and principal element lattices in terms of almost prime elements. Finally, we show that in a Noether lattice L, every proper
Çallıalp, Fethi +2 more
openaire +1 more source
Distributive and Dual Distributive Elements in Hyperlattices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper we introduce and study distributive elements, dual distributive elements in hyperlattices, and prove that these elements forms ∧-semi lattice and ∨-semi hyperlattice, respectively.
Ameri Reza +3 more
doaj +1 more source