The notion of the characteristic of rings and its basic properties are formalized [14], [39], [20]. Classification of prime fields in terms of isomorphisms with appropriate fields (ℚ or ℤ/p) are presented. To facilitate reasonings within the field of rational numbers, values of numerators and denominators of basic operations over rationals are computed
This handout discusses finite fields: how to construct them, properties of elements in a finite fiel...
We provide an explicit and algorithmic version of a theorem of Momose classifying isogenies of prime...
A semifield R is a not necessarily associative ring with no zero-divisors, a multiplicative identity...
The notion of the characteristic of rings and its basic properties are formalized [14], [39], [20]. ...
Different properties of rings and fields are discussed [12], [41] and [17]. We introduce ring homomo...
We present an algorithm for determining whether an ideal in a polynomial ring is prime or not. We us...
the rational number field by Q, and its subring of all rational integers by Z. All algebraic quantit...
[[abstract]]Let q = pn, p a rational prime, and let be the finite field with q elements. The polyno...
AbstractIn characteristic zero, Zinovy Reichstein and the author generalized the usual relationship ...
p a prime number b an integer> 1 k an algebraically closed field of characteristic p R generic na...
Abstract. We investigate connections between arithmetic properties of rings and topological properti...
A ring R is said to be prime if AB = 0 implies A= 0 or B = 0 for any (two sided) ideals A, B of R. I...
The purpose of this paper is to discuss the property of the primes splitting completely in the finit...
AbstractWe investigate connections between arithmetic properties of rings and topological properties...
Let K be an algebraic number field. Let OK denote the ring of integers of K. Let d(K) de-note the di...
This handout discusses finite fields: how to construct them, properties of elements in a finite fiel...
We provide an explicit and algorithmic version of a theorem of Momose classifying isogenies of prime...
A semifield R is a not necessarily associative ring with no zero-divisors, a multiplicative identity...
The notion of the characteristic of rings and its basic properties are formalized [14], [39], [20]. ...
Different properties of rings and fields are discussed [12], [41] and [17]. We introduce ring homomo...
We present an algorithm for determining whether an ideal in a polynomial ring is prime or not. We us...
the rational number field by Q, and its subring of all rational integers by Z. All algebraic quantit...
[[abstract]]Let q = pn, p a rational prime, and let be the finite field with q elements. The polyno...
AbstractIn characteristic zero, Zinovy Reichstein and the author generalized the usual relationship ...
p a prime number b an integer> 1 k an algebraically closed field of characteristic p R generic na...
Abstract. We investigate connections between arithmetic properties of rings and topological properti...
A ring R is said to be prime if AB = 0 implies A= 0 or B = 0 for any (two sided) ideals A, B of R. I...
The purpose of this paper is to discuss the property of the primes splitting completely in the finit...
AbstractWe investigate connections between arithmetic properties of rings and topological properties...
Let K be an algebraic number field. Let OK denote the ring of integers of K. Let d(K) de-note the di...
This handout discusses finite fields: how to construct them, properties of elements in a finite fiel...
We provide an explicit and algorithmic version of a theorem of Momose classifying isogenies of prime...
A semifield R is a not necessarily associative ring with no zero-divisors, a multiplicative identity...
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