Topic
Cancellative semigroup
About: Cancellative semigroup is a research topic. Over the lifetime, 1320 publications have been published within this topic receiving 13319 citations.
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TL;DR: In this article, the infinitesimal generator of the semigroup is found by differentiating at t = 0, and the type of limit is epigraphical convergence in a uniform sense.
Abstract: The Lagrange problem in the calculus of variations exhibits the principle of optimality in a particularly simple form. The binary operation of inf-composition applied to the value functions of a Lagrange problem equates the principle of optimality with a semigroup property. This paper finds the infinitesimal generator of the semigroup by differentiating at t = 0. The type of limit is epigraphical convergence in a uniform sense. Moreover, the extent to which a semigroup is uniquely determined by its infinitesimal generator is addressed
2 citations
2 citations
TL;DR: In this paper, the compatible total orders on ω-regular semigroups are described explicitly, and they are shown to be compatible in terms of the total order of ω.
Abstract: In this paper we describe explicitly the compatible total orders on ω-regular semigroups.
2 citations
TL;DR: In this article, necessary and sufficient conditions for the units of a commutative semigroup ring R[S] to be determined by the nilradical of R [S] and the unit of R[G] where G is the group of units of S is a torsion-free semigroup.
Abstract: We seek necessary and sufficient conditions for the units of a commutative semigroup ring R[S] to be determined by the nilradical of R[S] and the units of R[G] where G is the group of units of S. We assume that R is a commutative ring with identity and S is a torsion-free semigroup with identity.
2 citations
TL;DR: In this article, the concept of invariance of a ring relative to a commutative semigroup was studied and proved for certain Prufer rings and affine algebras relative to semigroups of a special class.
Abstract: In this paper we study the concept of the invariance of a ring relative to a commutative semigroup. Invariance is proved for certain Prufer rings and affine algebras relative to semigroups of a special class.Bibliography: 11 titles.
2 citations