Almost zip Bezout domain

O.M. Romaniv; B.V. Zabavsky

doi:10.30970/ms.53.2.115-118

O.M. Romaniv Ivan Franko National University of Lviv
B.V. Zabavsky Ivan Franko National University of Lviv

DOI: https://doi.org/10.30970/ms.53.2.115-118

Keywords: Bezout ring, elementary divisor ring, almost zip ring, Kasch ring, J-Noetherian ring, Goldie ring, maximal ideal, prime ideal

Abstract

J. Zelmanowitz introduced the concept of a ring, which we call a zip ring. In this paper we characterize a commutative Bezout domain whose finite homomorphic images are zip rings modulo its nilradical.

Author Biographies

O.M. Romaniv, Ivan Franko National University of Lviv

Associate Professor,
Department of Algebra and Logic,
Faculty of Mechanics and Mathematics,
Ivan Franko National University of Lviv

B.V. Zabavsky, Ivan Franko National University of Lviv

Department of Algebra and Logic, Faculty of Mechanics and Mathematics, Ivan Franko National University of Lviv

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