Some Remarks on Rings

• Autorzy: Obojska L. , O’Hara P.
• Języki publikacji: EN

Abstrakty

EN

Algebraic structures such as Rings, Fields, Boolean Algebras (Set Theory) and σ-Fields are well known and much has been written about them. In this paper we explore some properties of rings related to the distribution law. Specifically, we shall show that for rings there exists only one distribution law. Moreover, for the ring (Zp(p-1)n+, ź), where (p, n) = 1 there exist isomorphic groups (G, +), (H, ź), G,H⊆ Zp(p-1)n of the order (p - 1). Finally, we note that every ring (Zpn,+, ź) contains subfields mod(pn).

Słowa kluczowe

EN

distribution law; rings; isomorphism

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2010
• Tom: Vol. 50, [Z] 1
• Strony: 35--39
• Opis fizyczny: Bibliogr. 3 poz.

Twórcy

autor

Obojska L.

autor

O’Hara P.

• University of Podlasie, Faculty of Sciences, Dept. of Mathematics and Physics ul. 3 Maja 54, 08-110 Siedlce, Poland,

Bibliografia

• [1] Mostowski, A. and Stark, M., Algebra wyższa, v.1-3, PWN 1953.
• [2] Scott, W. R., Group Theory, Prentice-Hall, Inc., Englewood Cliffs, N.J. 1964.
• [3] Sierpinski, W., Elementary Theory of Numbers, PWN 1964.