Results 81 to 90 of about 15,163 (109)
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GREEN'S RELATIONS AND MINIMAL QUASI-IDEALS IN RINGS
Communications in Algebra, 2002ABSTRACT In this paper we study the Green's relations , , , , as well as the relations concerning principal quasi-ideals in rings, whose definitions mimic definitions of Green's relations and relation in semigroups. We show that, differently from semigroups in rings we have in general , and we provide a sufficient, but not necessary, condition for , to
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REMARKS ON (0-MINIMAL) MINIMAL QUASI-IDEALS IN (SEMIGROUPS WITH 0) RINGS
Quaestiones Mathematicae, 1995Abstract In this paper we conclude that the notion of a n-strongly (0-) minimal quasi-ideal and that of a regular, strongly (0-) minimal quasiideal coinside. Our related results, obtained independently from Clifford's results, present us with additional information on the last-named quasiideals.
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MINIMALITY AND MAXIMALITY OF ORDERED QUASI-IDEALS IN ORDERED SEMIGROUPS
Asian-European Journal of Mathematics, 2008The aim of this paper is to study the concept of (0-)minimal and maximal ordered quasi-ideals in ordered semigroups that are studied analogously to the concept of minimal and maximal ordered left ideals in ordered semigroups considered by Cao and Xu [2].
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A note on $n$-strongly (0-minimal) minimal quasi-ideals in (semigroups with 0) rings
Publicationes Mathematicae Debrecen, 1996In [Quaest. Math. 18, No. 4, 477-485 (1995; Zbl 0854.16001)] the author introduced the notion of \(n\)-strongly (0-)minimal quasi-ideal in a ring or a semigroup with 0: this is a (0-)minimal quasi-ideal which generates a (0-)minimal ideal whose square is not 0. The main observation of the present note is that a (0-)minimal quasi-ideal is \(n\)-strongly
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Minimal quasi-ideals of some matrix rings
Let R be a ring. An additive subgroup Q of a ring R is said to be a quasi-ideal of R if RQ intersection QR Q. For a R, let (a)q denote the quasi-ideal of R generated by a. A quasi-ideal Q of R is said to be minimal if Q is not equal to {0} and Q does not properly contain any nonzero quasi-ideal of R. Therefore if Q is a minimal quasi-ideal of R, then Qopenaire +1 more source
subsemigroup Q of a semigroup S is called a quasi-ideal of S if SQ [intersection] QS C Q. A quasi-ideal of a ring R is a subring Q of R such that RQ [intersection] QR C Q where RQ [QR] is the set of all finite sums of the form [sigma] r[subscript i] q[subscript i] [[sigma] q[subscript i] r[subscript i]], r[subscript i] Epsilon R and q[subscript i ...
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On minimal bi-ideal elements of an le-semigroup
Afrika Matematika, 2023Anjan Kumar Bhuniya, Manas Kumbhakar
exaly
2013 IEEE International Symposium on Electromagnetic Compatibility, 2013
Aziz Adardour +2 more
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Aziz Adardour +2 more
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On the Biconservative Quasi-Minimal Immersions into Semi-Euclidean Spaces
Mediterranean Journal of Mathematics, 2021Nurettin Cenk Turgay +2 more
exaly