left IF − 1 rings
On a common generalization of symmetric rings and quasi duo rings
... Exchange rings need not be clean but under certain additional conditions exchange rings turns out to be clean (see [1], [2], [3], [7], [11], ...that left (right) quasi-duo exchange ...
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Left Annihilator of Identities Involving Generalized Derivations in Prime Rings
... point the natural question is what happens in case the derivation is replaced by generalized derivation. Some papers have investigated, when generalized derivation F acts as homomorphism or anti-homomorphism on some ...
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Generalizations of Morphic Group Rings
... called left morphic if every element of R is left ...and rings are defined ...investigated left morphic rings in [1] (see also [2–4] for more detailed ...
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Rings which have \((m, n)\)-flat injective modules
... a left IF − (m, n) ring if every injective left R-module is (m, ...of left IF − (m, n) rings are investigated, some conditions under which R is left IF −(m, n) are ...a left IF − ...
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Left Generalized Derivations and Commutativity of Prime Rings
... prime rings with derivations was initiated by ...commuting left generalized derivation on prime ring is ...on left generalized derivations and commutativity of prime ring is a ...
5
Commutative reduced filial rings
... Filial rings appeared independently in some several ...commutative rings) and were continued in [2], [6], [7], [1], ...of left filial rings were started in ...semiprime left ...
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Isomorphism of generalized triangular matrix rings and recovery of tiles
... and 1. Relevant examples of such rings are for instance: inde- composable commutative rings and local rings (not necessarily ...matrix-type rings. Recall that if R and S are two ...
6
Left localizable rings and their characterizations
... regular left Ore set and the largest left quotient ring of a ...that 1 ∈ S and 0 6∈ S) is said to be a left Ore set if it satisfies the left Ore condition: for each r ∈ R and s ∈ ...
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Identities in $3$-prime near-rings with left multipliers
... ≥ 1 be a fixed positive ...a left multiplier F satisfying any one of the fol- lowing properties: (i) F n ([x, y]) ∈ Z(N ), (ii) F n (x ◦ y) ∈ Z(N ...
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Orders in Artinian rings, Goldie's Theorem and the largest left quotient ring of a ring
... the left quotient ring is as ‘small’ as possible in the sense that every element of it is a left fraction (the situation resembles the commutative ...the left quotient ring is as ‘large’ as possible ...
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Left 𝑊𝑀𝐶2 Rings
... maximal left ideal in a ring R cannot guarantee the left self-injectivity of ...a left idempotent reflexive ring containing an injective maximal left ideal, then R is a left ...
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Optimized Multiplicative Derivations in Close to Rings
... Throughout the paper, N will denote a left near-ring. N is called a 3-prime near-ring if xN y = {0} implies x = 0 or y = 0. N is called a semiprime near- ring if xN x = {0} implies x = 0. A nonempty subset A of N ...
7
On Jordan ideals and left (θ,θ) derivations in prime rings
... 1. Introduction. Throughout the present paper, R will denote an associative ring with centre Z(R). We will write for all x, y ∈ R, [x, y] = xy − yx and x ◦ y = xy + yx for the Lie product and Jordan product, ...
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On Weak Graded Rings
... graded rings and modules were ...of left coset representatives and some results were proved in the new ...graded rings and their modules were ...
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Characterizations of Non-associative Rings by Their Intuitionistic Fuzzy Bi-ideals
... Liu [13], introduced the concept of fuzzy subrings and fuzzy ideals of a ring. Many authors have explored the theory of fuzzy rings (for example [6, 12, 14, 15, 21]). Gupta et al [6], gave the idea of intrinsic ...
25
Form of filters of semisimple modules and direct sums
... We study the form of filters of semisimple modules and direct sums.. All rings are considered to be associative with unit 1 6 =0 and all modules are left and unitary.[r] ...
7
A note on (α,β)*-i-n-Derivations in Rings with Involution
... Let R be a ∗-ring. An additive mapping d : R −→ R is said to be a ∗-derivation on R if d(xy) = d(x)y ∗ + xd(y) holds for all x, y ∈ R. If R is a commutative ∗-ring, then d : R −→ R defined by d(x) = a(x− x ∗ ), where a ∈ ...
7
New criteria for a ring to have a semisimple left quotient ring
... The Second Criterion is given via the minimal primes of R and goes further then the First one in the sense that it describes explicitly the maximal left denominator sets S via the minimal primes of R. The Third ...
23
Left localizations of left Artinian rings
... their left versions but much more simpler due to Corollary ...the left analogues in a straightforward manner and are left for the reader as an easy ...(i.e. left and right) concepts we use the ...
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1 1.5" (38 mm) Diameter
... Product --> CABLE RINGS CABLE RINGS CABLE RINGS CABLE RINGS CABLE RINGS RINGS CABLE SADDLES RINGS & SADDLES RINGS & SADDLES RINGS & SADDLES RINGS & SADDLES R[r] ...
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