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Thursday, May 21, 2020 | History

6 edition of Quasi Ideals Rings Semi (Disquisitiones mathematicae Hungaricae) found in the catalog.

# Quasi Ideals Rings Semi (Disquisitiones mathematicae Hungaricae)

## by Otto Steinfeld

Written in English

Subjects:
• Science/Mathematics

• The Physical Object
FormatPaperback
Number of Pages154
ID Numbers
Open LibraryOL9161874M
ISBN 109630516969
ISBN 109789630516969

Let R be a commutative ring with nonzero identity. In this article, we introduce the notion of 2-absorbing quasi-primary ideal which is a generalization of quasi-primary ideal. We define a proper ideal I of R to be 2-absorbing quasi primary if $$\sqrt{I}$$ is a 2-absorbing ideal of R.A number of results concerning 2-absorbing quasi-primary ideals and examples of 2-absorbing quasi-primary Cited by: 3. ] the ring of polynomials whose coefﬁcients are in the ground ring R swp the sign function of a cycle or permutation S n the group of all permutations of a list of n elements.

1. Introduction. A new type of fuzzy subgroup, that is, the (α, β)-fuzzy subgroup, was introduced in an earlier paper of Bhakat and Das by using the combined notions of “belongingness” and “quasi-coincidence” of fuzzy points and fuzzy sets,.In particular, the concept of an (∈, ∈ ∨ q)-fuzzy subgroup is a useful generalization of Rosenfeld’s fuzzy by:   [5] Weinert, H. J.,Über Quasiideale in Halbringen, Contributions to General Algebra 2, Proc. of the Klagenfurt Conference, June 10–13, , Wien , –Author: V. N. Dixit, P. K. Singhal, H. J. Weinert.

On quasi-ideals of semirings On quasi-ideals of semirings. EXTENSIONS OF FUZZY IDEALS OF Gamma- SEMIRINGS EXTENSIONS OF FUZZY IDEALS OF Gamma- SEMIRINGS. On quasi-ideals and bi-ideals in ternary semirings. International Journal of . Generalized (2;2 _qk)-Fuzzy Quasi-Ideals in Semigroups fuzzy quasi-ideals of a semigroup. The book by Mordeson et al. [21] deals with the theory of fuzzy semigroups and their use in fuzzy coding, fuzzy ﬁnite rings/ideals in a near ring. Jun and Song in [11].

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### Quasi Ideals Rings Semi (Disquisitiones mathematicae Hungaricae) by Otto Steinfeld Download PDF EPUB FB2

Buy Quasi Ideals Rings Semi (Disquisitiones mathematicae Hungaricae) on FREE SHIPPING on qualified orders Quasi Ideals Rings Semi (Disquisitiones mathematicae Hungaricae): Ottó Steinfeld: : Books. Properties of many types of ordered -ideals including (semi)prime, (strongly) irreducible, and maximal ordered quasi--ideals and ordered bi--ideals in ordered -semirings have been studied.

IntroductionCited by: 1. Immediate online access to all issues from Subscription will auto renew by: Then bi-ideals are generalization of quasi-ideals. In this thesis, we will give the notion BQ to denote the class of all semi- groups whose bi-ideals are quasi-ideals.

In fact, Calais has characterized the semigroups in Size: KB. PRIME IDEALS OF GENERALIZED PRINCIPALLY QUASI-BAER RINGS KAMAL PAYKAN and AHMAD MOUSSAVI Communicated by Constantin N ast asescu In this paper, we continue to study generalized p.q.-Baer rings.

We show that the prime radical is the unique minimal prime ideal of a class of principally right primary Size: KB. Several statements on quasi-ideals of semirings are given in this paper, where these semirings may have an absorbing element O or not.

In Section 2 we characterize regular semirings and regular elements of semi-rings using quasi-ideals (cf. Thms.and ). In Section 3 we deal with (O −) minimal and canonical by: The notion of quasi-ideals for rings was introduced by O.

Steinfeld in the year and it has been widely studied. In this paper, we study (m, n) -quasi-ideals of rings. In this paper we have studied the properties of Quasi-ideals and Bi-ideals in ternary semi groups. We prove that every quasi-ideal is a bi-ideal in T but the converse is not true in general by.

A note on quasi-ideals in regular Γ-semirings NA denotes the set of all ﬁnite sums of the form niai where ni ∈ N and ai ∈ B. Let S be a Γ-semiring. By a quasi-ideal Q we mean a subsemigroup Q of (S,+) such that SΓQ∩ QΓS ⊆ is clear that every left ideal and right ideal of a Γ-semiring S is a quasi-ideal of er, each quasi-ideal of S is a subΓ-semiring of by: 1.

The notion of quasi-ideals play an important role in the study of ring theory, semiring theory, semigroup theory and ordered semigroup theory etc. for a detail study of quasi-ideals in rings and. Rings in which each right ideal is quasi-continuous (right π-rings) are shown to be a direct sum of semisimple artinian square full ring and a right square free ring.

Several statements on quasi-ideals of semirings are given in this paper, where these semirings may have an absorbing element O or not. In Section 2 we characterize regular semirings and regular elements of semi-rings using quasi-ideals (cf.

Thms.and ). In Section 3 we deal with (OÃ¢ÂˆÂ’)minimal and canonical : Christoph D&# A ring R is called (quasi-) Baer if the right annihilator of every (ideal) nonempty subset of R is generated, as a right ideal, by an idempotent of R.

Armendariz has shown that for a reduced ring. This book, along with volume I, which appeared previously, presents a survey of the structure and representation theory of semi groups. Volume II goes more deeply than was possible in volume I into the theories of minimal ideals in a semi group, inverse semi groups, simple semi groups, congruences on a semi group, and the embedding of a semi group in a by: In this paper, we study the concept of minimal quasi-ideals in ternary semiring and prove some standard results analogous to ring theory.

We also introduced the concept of a $$Q$$-simple ternary semiring and $$0$$-$$Q$$-simple ternary semiring and characterize $$0$$-minimal quasi-ideals in terms of $$Q$$-simple ternary : Manish Kant Dubey, Anuradha.

In this paper we continue the line of investigation regarding the study of semi-derivations centralizing on Jordan ideals of rings with involution.

Mains results. Theorem Let R be a 2-torsion free *-prime ring, g an onto endomorphism of R and d a nonzero semi-derivation associated with g. If d is centralizing on R, then R is : J.J. Jaraden, J.J.

Acta Math H 85–99 () doi Cited by: Quasi-ideals in rings and semigroups. Budapest: Akadémiai Kiadó, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors /.

History. Ideals were first proposed by Richard Dedekind in in the third edition of his book Vorlesungen über Zahlentheorie (English: Lectures on Number Theory).They were a generalization of the concept of ideal numbers developed by Ernst Kummer.

Later the concept was expanded by David Hilbert and especially Emmy Noether. Definitions and motivation. For an arbitrary ring (, +, ⋅), let. Whereas ring theory and category theory initially followed diﬀerent di- rections it turned out in the s – e.g. in the work of Auslander – that the study of functor categories also.

In mathematics, a semi-local ring is a ring for which R/J(R) is a semisimple ring, where J(R) is the Jacobson radical of R.(Lam &§20)) (Mikhalev &C.7))The above definition is satisfied if R has a finite number of maximal right ideals (and finite number of maximal left ideals).

When R is a commutative ring, the converse implication is also true, and so the definition of semi.Therefore a quasi-Baer ring satisfies the hypothesis of Theorem The first statement of the following corollary is a special case of [4, Theorem ].

Corollary A ring R is a quasi-Baer ring if and only if R[x] is a quasi-Baer ring. In this case R is a quasi-Armendariz ring. Now we consider some extensions of quasi-Armendariz by: Let Rbe a left quasi-Noetherian ring, then N(R) is nilpotent Theorem If R is a left quasi-Noetherian ring.

Then R satisfies the ascending chain condition on semi-prime ideals. Proof: Let be any ascending chain of semi-prime ideals of there exists such that. But, hence and. But is a semi-prime ideal.