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ON NONMONOGENIC ALGEBRAIC NUMBER FIELDS

期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (1)

Let q be a prime number and f ( x) = x(qs) - ax(m) - b be a monic irreducible polynomial of degree qs having integer coefficients. Let K = Q(theta) be......

GALOIS GROUP OF Xpn + aX plus a

期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (1)

Let p be an odd prime number, n >= 3 be a rational integer, and let f ( X) = X (pn) + aX + a is an element of Z[X] be an Eisenstein trinomial with ......

ALGEBRAIC DEGREE OF SERIES OF RECIPROCAL ALGEBRAIC INTEGERS

期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (2)

We give sufficient conditions for any linear combination over Q of numbers S-n=1(8) b(1,n)/a(1,n), . . ., S-n=1(8) b(K,n)/a(K,n )to have algebraic deg......

THE GENERAL INVERSION PAIR AND ITS APPLICATIONS

期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (4)

In this paper, a general inversion pair is established which provides deformed versions of the Humbert polynomial, Wilson polynomials and Racah polyno......

THE FACET IDEALS OF CHESSBOARD COMPLEXES

期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (4)

We describe the irreducible decomposition of the facet ideal F(?(m,n)) of the chessboard complex ?(m,n) with n = m. We also provide some lower bounds ......

MORE SOLUTIONS TO NONLINEAR RECURRENCE EQUATIONS

期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (2)

Let F(x) be any analytic function. Suppose that w is a fixed point of F(x), that is, F(w) = w. We previously (Rocky Mountain J. Math. 52:6 (2022)) gav......

SHEDDING VERTICES AND ASS-DECOMPOSABLE MONOMIAL IDEALS

期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (1)

The shedding vertices of simplicial complexes are studied from an algebraic point of view. Based on this perspective, we introduce the class of ass-de......

ELASTIC TRANSFORMATION AND ITS INVERSE TRANSFORMATION FOR SOLVING FIRST- AND THIRD-ORDER NONLINEAR VARIABLE COEFFICIENT ORDINARY DIFFERENTIAL EQUATIONS

期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (2)

Here elastic transformation and its inverse transformation are used to solve two kinds of first-and third-order nonlinear ordinary differential equati......

UNIQUENESS OF SOLUTIONS, STABILITY AND SIMULATIONS FOR A DIFFERENTIAL PROBLEM INVOLVING CONVERGENT SERIES AND TIME VARIABLE SINGULARITIES

期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (4)

We study a new problem of nonlinear integrodifferential equations with nonlocal integral conditions. The considered problem is singular at the origin ......

THE ALGEBRA OF CONJUGACY CLASSES OF THE WREATH PRODUCT OF A FINITE GROUP WITH THE SYMMETRIC GROUP

期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (2)

Let G be a finite group. In this expository paper, we provide a detailed proof of the polynomiality property of the structure coefficients of the cent......

GLOBAL STRUCTURE OF POSITIVE SOLUTIONS FOR SECOND ORDER DISCRETE PERIODIC BOUNDARY VALUE PROBLEM WITH INDEFINITE WEIGHT

期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (5)

We show the global structure of positive solutions for second order periodic boundary value problem(-Delta(2)u(t-1)=lambda a(t)g(u(t)), t is an elemen......

EXISTENCE OF SOLUTIONS FOR 2D NONLINEAR FRACTIONAL VOLTERRA INTEGRAL EQUATIONS IN BANACH SPACE

期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (6)

We study the existence of solutions for 2D fractional Volterra integral equations, using Petryshyn's fixed-point theorem and measures of noncompactnes......

CONTINUITY ON A CLASS OF F-ALGEBRAS

期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (2)

In the first part of the paper, we give some criteria of continuity of the spectral radius functions on strongly sequential S-fundamental F-algebras. ......

INITIAL DEGREE OF SYMBOLIC POWERS OF IDEALS OF FERMAT CONFIGURATIONS OF POINTS

期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (3)

Let n > 2 be an integer and consider the defining ideal of the Fermat configuration of points in P2: I n = (x(yn - zn), y(zn -xn), z(xn - yn)) &amp......

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