On zero subrings and periodic subrings

On zero subrings and periodic subrings

We give new proofs of two theorems on rings in which every zero subring is finite; and we apply these theorems to obtain a necessary and sufficient condition for an infinite ring with periodic additive group to have an infinite periodic subring.

Bibliographic Details
Main Author:	Howard E. Bell
Format:	Article
Language:	English
Published:	Hindawi Limited 2001-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Online Access:	http://dx.doi.org/10.1155/S0161171201006044

Similar Items

Octahedron Subgroups and Subrings
by: Jeong-Gon Lee, et al.
Published: (2020-08-01)

On finiteness of rings with finite maximal subrings
by: H. E. Bell, et al.
Published: (1993-01-01)

Subrings of I-rings and S-rings
by: Mamadou Sanghare
Published: (1997-01-01)

Subring Depth, Frobenius Extensions, and Towers
by: Lars Kadison
Published: (2012-01-01)

Commuting probability for subrings and quotient rings
by: Stephen M. Buckley, et al.
Published: (2017-01-01)

On subrings of amalgamated free products of rings
by: Renshaw, James
Published: (1999)

Rings with periodic additive groups in which all subrings are ideals
by: Kruse, Robert Leroy
Published: (1964)

On the Commutative Rings with At Most Two Proper Subrings
by: David E. Dobbs
Published: (2016-01-01)

Half-factoriality in subrings of trigonometric polynomial rings
by: Ehsan Ullah, et al.

Nagata rings and directed unions of Artinian subrings
by: D. Karim
Published: (2003-01-01)

Admissible subrings of real-valued continuous functions
by: Choo, Eng-Ung
Published: (2011)

A Certain Structure of Bipolar Fuzzy Subrings
by: Hanan Alolaiyan, et al.
Published: (2021-08-01)

Subring of constants of a ring of characteristic p>0
by: Marilena Crupi
Published: (1993-11-01)

Systems with the integer rounding property in normal monomial subrings
by: Luis A. Dupont, et al.
Published: (2010-12-01)

On pairs of subrings with a common set of proper ideals
by: Yasuyuki Hirano, et al.
Published: (2005-01-01)

A graded subring of an inverse limit of polynomial rings
by: Snellman, Jan
Published: (1998)

Generalized Direct Product of Complex Intuitionistic Fuzzy Subrings
by: Muhammad Gulzar, et al.
Published: (2021-01-01)

Intuitionistic Fuzzy Normal Subrings over Normed Rings
by: Nour Abed Alhaleem, et al.
Published: (2021-04-01)

Intuitionistic Fuzzy Normed Subrings and Intuitionistic Fuzzy Normed Ideals
by: Nour Abed Alhaleem, et al.
Published: (2020-09-01)

Coefficient subrings of certain local rings with prime-power characteristic
by: Takao Sumiyama
Published: (1995-01-01)

Invertible Ideals and the Strong Two-Generator Property in Some Polynomial Subrings
by: Chapman, Scott T. (Scott Thomas)
Published: (1987)

The Rough Intuitionistic Fuzzy Ideals of Intuitionistic Fuzzy Subrings in a Commutative Ring
by: Prasenjit Mandal, et al.
Published: (2014-09-01)

Direct Product of Finite Fuzzy Normal Subrings Over Non-Associative Rings
by: Nasreen Kausar, et al.
Published: (2019-09-01)

Direct Product of Finite Fuzzy Normal Subrings Over Non-Associative Rings
by: Nasreen Kausar, et al.
Published: (2019-09-01)

Finite completely primary rings in which the product of any two zero divisors of a ring is in its coefficient subring
by: Yousif Alkhamees
Published: (1994-01-01)

On Fundamental Theorems of Fuzzy Isomorphism of Fuzzy Subrings over a Certain Algebraic Product
by: Alaa Altassan, et al.
Published: (2021-06-01)

Describe a ring R such that R is a finite union of its proper simple subrings
by: Ya-Hui Liu, et al.
Published: (2000)

A new distribution record for the Critically Endangered Madura Swampweed Hygrophila madurensis (N.P. Balakr. & Subr.) Karthik. & Moorthy (Acanthaceae)
by: P. Raja, et al.
Published: (2015-07-01)

A new distribution record for the Critically Endangered Madura Swampweed Hygrophila madurensis (N.P. Balakr. & Subr.) Karthik. & Moorthy (Acanthaceae)
by: P. Raja, et al.
Published: (2015-07-01)

Noncommutativity and noncentral zero divisors
by: Howard E. Bell, et al.
Published: (1999-01-01)

On the Zeros of Non-Analytic Random Periodic Signals
by: Angst, J., et al.
Published: (2022)

The impact of periodicity on the zero-crossings of random functions
by: Wilson, Lorna Rachel Maven
Published: (2015)

Periodic solutions for functional differential equations with periodic delay close to zero
by: My Lhassan Hbid, et al.
Published: (2006-11-01)

Generalized periodic rings
by: Howard E. Bell, et al.
Published: (1996-01-01)

On Generalized Periodic-Like Rings
by: Howard E. Bell, et al.
Published: (2007-01-01)

The minimum tree for a given zero-entropy period
by: Esther Barrabés, et al.
Published: (2005-01-01)

Zero-crossing pattern monitoring of continuous periodic waveforms
by: Ibiyemi, T. S.
Published: (1982)

Generalized periodic and generalized Boolean rings
by: Howard E. Bell, et al.
Published: (2001-01-01)

Zero impact or zero reliability? : An empirical test of Capital Asset Pricing Model during periods ofzero risk-free rate
by: Grammenidis, Ackis, et al.
Published: (2009)

Zero base budgeting : a comparative analysis.
by: Gunderson, Richard Howard
Published: (2012)