Results 31 to 40 of about 468 (134)
Positive Clifford Semigroups on the Plane [PDF]
Transactions of the American Mathematical Society, 1970 This work is devoted to a preliminary investigation of positive Clifford semigroups on the plane. A positive semigroup is a semigroup which has a copy of the nonnegative real numbers embedded as a closed subset in such a way that 0 is a zero and 1 is an identity. A positive Clifford semigroup is a positive semigroup which is the union of groups.
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Smarandache U-liberal semigroup structure [PDF]
, 2009 In this paper, Smarandache U-liberal semigroup structure is given. It is shown that a semigroup S is Smarandache U-liberal semigroup if and only if it is a strong semilattice of some rectangular monoids. Consequently, some corresponding results on normal
Chen, Yizhi
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Ideal extensions of ordered sets
International Journal of Mathematics and Mathematical Sciences, 2004 The ideal extensions of semigroups—without order—have been first considered by Clifford (1950). In this paper, we give the main theorem of the ideal extensions for ordered sets.
Niovi Kehayopulu
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Clifford semigroups and monotonicity [PDF]
Bulletin of the Australian Mathematical Society, 1985 A semigroup S is said to be monotone if its binary operation is a monotone function from S × S into S. This paper utilizes some of the known algebraic structure of Clifford semigroups, semigroups which are unions of groups, to study topological Clifford semigroups which are monotone.
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Endomorphisms of Clifford semigroups with injective structure homomorphisms
, 2020 In the present paper, we study semigroups of endomorphisms on Clifford semigroups with injective structure homomorphisms, where the semilattice has a least element. We describe such Clifford semigroups having a regular endomorphism monoid.
Worawiset, S., Koppitz, J.
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On the Topology of a Compact Inverse Clifford Semigroup [PDF]
Transactions of the American Mathematical Society, 1976 A description of the topology of a compact inverse Clifford semigroup S is given in terms of the topologies of its subgroups and that of the semilattice X of idempotents.
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Cancellative and Malcev presentations for finite Rees index subsemigroups and extensions [PDF]
, 2008 It is known that, for semigroups, the property of admitting a finite presentation is preserved on passing to subsemigroups and extensions of finite Rees index.
Cain, Alan James +2 more
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Characterizations of Regular Ordered Semirings by Ordered Quasi‐Ideals
International Journal of Mathematics and Mathematical Sciences, Volume 2016, Issue 1, 2016., 2016 We introduce the notion of an ordered quasi‐ideal of an ordered semiring and show that ordered quasi‐ideals and ordered bi‐ideals coincide in regular ordered semirings. Then we give characterizations of regular ordered semirings, regular ordered duo‐semirings, and left (right) regular ordered semirings by their ordered quasi‐ideals.
Pakorn Palakawong na Ayutthaya +2 more
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Green index in semigroups : generators, presentations and automatic structures
, 2012 The Green index of a subsemigroup T of a semigroup S is given by counting strong orbits in the complement S n T under the natural actions of T on S via right and left multiplication.
Ruskuc, Nik +4 more
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On the Dolbeault–Dirac operator of quantized symmetric spaces
Transactions of the London Mathematical Society, Volume 2, Issue 1, Page 33-56, 2015., 2015 The Dolbeault complex of a quantized compact Hermitian symmetric space is expressed in terms of the Koszul complex of a braided symmetric algebra of Berenstein and Zwicknagl. This defines a spectral triple quan‐tizing the Dolbeault–Dirac operator associated to the canonical spin c structure.
Ulrich Krähmer +1 more
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