AbstractThe group of units in the ring Zm of residue classes modm consists of the residues amodm with (a,m)=1. We determine the number of representations of a fixed residue class modm as the sum of two units in Zm, the sum of two nonunits, and the sum of mixed pairs, respectively
Let R be a commutative ring with identity. For a, b ∈ R define a and b to be associates, denoted a ∼...
AbstractFor integers a and n>0, let a(n) denote the residue class {x∈Z:x≡a(modn)}. Let A be a collec...
Let Ω(n) denote the number of prime divisors of n counting multiplicity. One can show that for any p...
AbstractThe group of units in the ring Zm of residue classes modm consists of the residues amodm wit...
AbstractIt is well known that if a1,…, am are residues modulo n and m ⩾ n then some sum ai1 + ⋯ + ai...
We consider the problem of determining the number of subsets B f1; 2; : : : ; ng such that P b2B b ...
In 1953 and 1954, K. Wolfson and D. Zelinsky showed, independently, that every element of the ring o...
We consider a problem of P. Erdős, A. M. Odlyzko and A. Sárkőzy about the representation of residue ...
AbstractThe ring Zk(+,.) mod pk with prime power modulus (prime p > 2) is analysed. Its cyclic group...
This article presents a brief survey of the work done on rings generated by their units. The study o...
We discuss some open questions regarding the unit sum numbers of free modules of arbitrary infinite ...
In the master’s thesis we study finite rings and their groups of units. The invertible elements of a...
Abstract. We consider a problem of P. Erdős, A. M. Odlyzko and A. Sárkőzy about the representatio...
Abstract. In this paper, we show that every element of a discrete module is a sum of two units if an...
For an integer n, denote by U(n) the multiplicative group of residue classes modulo n. The structure...
Let R be a commutative ring with identity. For a, b ∈ R define a and b to be associates, denoted a ∼...
AbstractFor integers a and n>0, let a(n) denote the residue class {x∈Z:x≡a(modn)}. Let A be a collec...
Let Ω(n) denote the number of prime divisors of n counting multiplicity. One can show that for any p...
AbstractThe group of units in the ring Zm of residue classes modm consists of the residues amodm wit...
AbstractIt is well known that if a1,…, am are residues modulo n and m ⩾ n then some sum ai1 + ⋯ + ai...
We consider the problem of determining the number of subsets B f1; 2; : : : ; ng such that P b2B b ...
In 1953 and 1954, K. Wolfson and D. Zelinsky showed, independently, that every element of the ring o...
We consider a problem of P. Erdős, A. M. Odlyzko and A. Sárkőzy about the representation of residue ...
AbstractThe ring Zk(+,.) mod pk with prime power modulus (prime p > 2) is analysed. Its cyclic group...
This article presents a brief survey of the work done on rings generated by their units. The study o...
We discuss some open questions regarding the unit sum numbers of free modules of arbitrary infinite ...
In the master’s thesis we study finite rings and their groups of units. The invertible elements of a...
Abstract. We consider a problem of P. Erdős, A. M. Odlyzko and A. Sárkőzy about the representatio...
Abstract. In this paper, we show that every element of a discrete module is a sum of two units if an...
For an integer n, denote by U(n) the multiplicative group of residue classes modulo n. The structure...
Let R be a commutative ring with identity. For a, b ∈ R define a and b to be associates, denoted a ∼...
AbstractFor integers a and n>0, let a(n) denote the residue class {x∈Z:x≡a(modn)}. Let A be a collec...
Let Ω(n) denote the number of prime divisors of n counting multiplicity. One can show that for any p...
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