Results 91 to 100 of about 4,246 (183)
Proceedings of the American Mathematical Society, 1973 The main results proved in this paper are that if R R is a semiprime ring satisfying a polynomial identity then (1) the maximal right quotient ring of R R is also P.I. and (2) every essential one-sided ideal of R R contains an essential two-sided ideal of R R .
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Anti fuzzy ideal extension of semigroups [PDF]
Journal of Hyperstructures, 2012 In this paper the concepts of anti fuzzy l-prime ideals, anti fuzzy semiprime ideals and anti fuzzy ideal extensions in asemigroup have been introduced. They are found to satisfy characteristic function criterion and anti level subset criterion.
S. Kumar Majumder, P. Pal, S. K. Sardar
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Ring Endomorphisms with Large Images [PDF]
, 2012 The notion of ring endomorphisms having large images is introduced. Among others, injectivity and surjectivity of such endomorphisms are studied. It is proved, in particular, that an endomorphism S of a prime one-sided noetherian ring R is injective ...
Leroy, André, Matczuk, Jerzy
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On Fully Semiprime Submodules and Fully Semiprime Modules
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 Let R be a commutative ring with unity and let M be a unitary R-module. In this paper we study fully semiprime submodules and fully semiprime modules, where a proper fully invariant R-submodule W of M is called fully semiprime in M if whenever Xï ...
I.M.A. Hadi, B.N. Shihab
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New Types of Fuzzy Interior Ideals of Ordered Semigroups Based on Fuzzy Points [PDF]
Matrix Science Mathematic, 2017 Subscribing to the Zadeh’s idea on fuzzy sets, many researchers strive to identify the key attributes of these sets for new finding in mathematics. In this perspective, new types of fuzzy interior ideals called (∈, ∈ ∨qk)-fuzzy interior ideals of ordered
Faiz Muhammad Khan +3 more
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Journal of Algebra and Its ApplicationsFor a nonempty subset [Formula: see text] of a ring [Formula: see text], the ring [Formula: see text] is called [Formula: see text]-semiprime if, given [Formula: see text], [Formula: see text] implies [Formula: see text]. This provides a proper class of semiprime rings. First, we clarify the relationship between idempotent semiprime and unit-semiprime
Grigore Călugăreanu +2 more
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Regular elements in semiprime rings [PDF]
, 1968 R. E. Johnson, Lawrence S. Levy
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Interval-Valued Semiprime Fuzzy Ideals of Semigroups
Advances in Fuzzy Systems, 2014 We introduce the notion of (i-v) semiprime (irreducible) fuzzy ideals of semigroups and investigate its different algebraic properties. We study the interrelation among (i-v) prime fuzzy ideals, (i-v) semiprime fuzzy ideals, and (i-v) irreducible fuzzy ...
Sukhendu Kar, Paltu Sarkar, Kostaq Hila
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Prime Structures in a Morita Context
, 2018 In this paper, we study on the primeness and semiprimeness of a Morita context related to the rings and modules. Necessary and sufficient conditions are investigated for an ideal of a Morita context to be a prime ideal and a semiprime ideal.
Calci, Mete Burak +3 more
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Semiprimeness of special Jordan algebras [PDF]
Proceedings of the American Mathematical Society, 1986 There are important connections between radicals of a special Jordan algebra J J and its associative envelope A A . For the locally nilpotent (Levitzki) radical L \mathcal {L} , Skosyrskii proved L ( J ) = J ∩
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