Results 11 to 20 of about 3,068,638 (207)
Characterizations of rings and modules by means of lattices [PDF]
, 1965 PhDIn this thesis we study the relationship between the lattice of submodules and the algebraic structure of a module. The key remark in our study will be the fact that the homomorphisms between two independent submadules of a module can be ...
Stephenson, W.
core +4 more sources
VNR rings, $\Pi$-regular rings and annihilators [PDF]
, 2009 summary:Von Neumann regular rings, hereditary rings, semi-simple Artinian rings, self-injective regular rings are characterized. Rings which are either strongly regular or semi-simple Artinian are considered.
Yue Chi Ming, Roger
core +2 more sources
On Strongly pi-Regular Rings with Involution
, 2022 Recall that a ring R is called strongly pi-regular if, for every a in R,there is a positive integer n, depending on a, such that a^n belongs to theintersection of a^{n+1}R and Ra^{n+1}.
Danchev, Peter, Cui, Jian
core +1 more source
, 2002 Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and ...
Vasantha, Kandasamy
core +1 more source
, 2006 In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy +2 more
core +1 more source
Projective prime ideals and localisation in pi-rings [PDF]
, 2001 The results here generalise [2, Proposition 4.3] and [9, Theorem 5.11]. We shall prove the following. THEOREM A. Let R be a Noetherian PI-ring. Let P be a non-idempotent prime ideal of R such that PR is projective. Then P is left localisable and RP is
Chatters, A. W. +5 more
core +1 more source
, 2002 The main concern of this book is the study of Smarandache analogue properties of near-rings and Smarandache near-rings; so it does not promise to cover all concepts or the proofs of all ...
Vasantha, Kandasamy
core +1 more source
Morphic elements in regular near-rings
, 2023 We define morphic near-ring elements and study their behavior in regular near-rings. We show that the class of left morphic regular near-rings is prop?erly contained between the classes of left strongly regular and unit-regular near-rings.
Philly Kimuli (14349951)
core +1 more source
EXTENSIONS OF STRONGLY pi-REGULAR RINGS [PDF]
, 2014 WOS: 000334569900021An ideal I of a ring R is strongly pi-regular if for any x is an element of I there exist n is an element of N and y is an element of I such that x(n) x(n+l)y. We prove that every strongly pi-regular ideal of a ring is a B-ideal.
Kurtulmaz, Yosum +2 more
core +1 more source
On Semiprime Noetherian PI-Rings [PDF]
, 2000 Let R be a semiprime Noetherian PI-ring and Q(R) the semisimple Artinian ring of fractions of R. We shall prove the following conditions are equivalent: (1) the Krull dimention of R is at most one, (2) Any ring between R and Q(R) is again right ...
Chiba, Katsuo
core +1 more source