Results 21 to 30 of about 4,472,960 (363)
A note on almost prime submodule of CSM module over principal ideal domain
Journal of Physics: Conference Series, 2021 An almost prime submodule is a generalization of prime submodule introduced in 2011 by Khashan. This algebraic structure was brought from an algebraic structure in ring theory, prime ideal, and almost prime ideal.
I. G. A. W. Wardhana +3 more
semanticscholar +1 more source
Number theoretic properties of the commutative ring Zn [PDF]
International Journal of Research in Industrial Engineering, 2019 This paper deals with the number theoretic properties of non-unit elements of the ring Zn. Let D be the set of all non-trivial divisors of a positive integer n.
Sh. Sajana, D. Bharathi
doaj +1 more source
Learning Weighted Automata over Principal Ideal Domains [PDF]
Foundations of Software Science and Computation Structure, 2019 In this paper, we study active learning algorithms for weighted automata over a semiring. We show that a variant of Angluin’s seminal \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb ...
Gerco van Heerdt +3 more
semanticscholar +1 more source
ON THE PRINCIPAL IDEAL THEOREM [PDF]
Journal of the Korean Mathematical Society, 2007 In this paper we give an example of imaginary quadratic number field k such that every ideal of k becomes principal in some proper subfields of the Hilbert class field of k.
Soun-Hi Kwon, Jung-Je Son
openaire +2 more sources
Principalization of ideals on toroidal orbifolds [PDF]
Journal of the European Mathematical Society, 2020 Given an ideal \mathcal I on a variety X with toroidal singularities, we produce a modification X' \to X , functorial for toroidal morphisms, making the ideal monomial on a ...
Michael Temkin +2 more
openaire +3 more sources
PILP-rings and fuzzy ideals [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2009 In this paper, we study rings whose principal right ideals are left pure. Also we shall introduce the concept of a fuzzy bi-ideal in a ring, and give some properties of such fuzzy ideals. We also give a characterization of whose principal right ideal are
Raida Mahmood
doaj +1 more source
A NEW CHARACTERIZATION OF PRINCIPAL IDEAL DOMAINS [PDF]
Journal of Mathematical Sciences: Advances and Applications, 2018 In 2008 N.~Q.~Chinh and P.~H.~Nam characterized principal ideal domains as integral domains that satisfy the follo\-wing two conditions: (i) they are unique factorization domains, and (ii) all maximal ideals in them are principal. We improve their result
Katie Christensen +2 more
semanticscholar +1 more source
Ideal simple shear strengths of two HfNbTaTi-based quinary refractory multi-principal element alloys
APL Materials, 2022 Atomistic simulations are employed to investigate chemical short-range ordering in two body-centered cubic refractory multi-principal element alloys, HfMoNbTaTi and HfNbTaTiZr, and its influence on their ideal simple shear strengths.
Shuozhi Xu +2 more
doaj +1 more source
Principal Ideals in the Ideal Lattice [PDF]
Proceedings of the American Mathematical Society, 1972 We show that there cannot be a definition of “principal elements” in the theory of multiplicative lattices so that the notion of principal elements concurs with the notion of principal ideals when interpreted in the ideal lattices of rings.
openaire +2 more sources
Ideals generated by principal minors [PDF]
Illinois Journal of Mathematics, 2015 A minor is principal means it is defined by the same row and column indices. Let $X$ be a square generic matrix, $K[X]$ the polynomial ring in entries of $X$, over an algebraically closed field, $K$. For fixed $t\leq n$, let $\mathfrak P_t$ denote the ideal generated by the size $t$ principal minors of $X$. When $t=2$ the resulting quotient ring $K[X]/\
openaire +4 more sources