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190
Tannaka Reconstruction of Weak Hopf Algebras in Arbitrary Monoidal Categories
, 2009
"... We introduce a variant on the graphical calculus of Cockett and Seely [2] for monoidal functors and illustrate it with a discussion of Tannaka reconstruction, some of which is known and some of which is new. The new portion is: given a separable Frobenius functor F: A − → B from a monoidal category ..."
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Cited by 2 (0 self)
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We introduce a variant on the graphical calculus of Cockett and Seely [2] for monoidal functors and illustrate it with a discussion of Tannaka reconstruction, some of which is known and some of which is new. The new portion is: given a separable Frobenius functor F: A − → B from a monoidal category
Entwining Structures in Monoidal Categories
 J. ALGEBRA
, 2007
"... Interpreting entwining structures as special instances of J. Beck’s distributive law, the concept of entwining module can be generalized for the setting of arbitrary monoidal category. In this paper, we use the distributive law formalism to extend in this setting basic properties of entwining module ..."
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Cited by 12 (7 self)
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Interpreting entwining structures as special instances of J. Beck’s distributive law, the concept of entwining module can be generalized for the setting of arbitrary monoidal category. In this paper, we use the distributive law formalism to extend in this setting basic properties of entwining
LOCAL STRUCTURE OF ALGEBRAIC MONOIDS
, 2008
"... We describe the local structure of an irreducible algebraic monoid M at an idempotent element e. When e is minimal, we show that M is an induced variety over the kernel MeM (a homogeneous space) with fibre the twosided stabilizer Me (a connected affine monoid having a zero element and a dense uni ..."
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Cited by 7 (2 self)
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unit group). This yields the irreducibility of stabilizers and centralizers of idempotents when M is normal, and criteria for normality and smoothness of an arbitrary monoid M. Also, we show that M is an induced variety over an abelian variety, with fiber a connected affine monoid having a dense unit
The BoardmanVogt resolution of operads in monoidal model categories, in preparation
"... Abstract. We extend the Wconstruction of Boardman and Vogt to operads of an arbitrary monoidal model category with suitable interval, and show that it provides a cofibrant resolution for wellpointed Σcofibrant operads. The standard simplicial resolution of Godement as well as the cobarbar chain ..."
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Cited by 32 (10 self)
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Abstract. We extend the Wconstruction of Boardman and Vogt to operads of an arbitrary monoidal model category with suitable interval, and show that it provides a cofibrant resolution for wellpointed Σcofibrant operads. The standard simplicial resolution of Godement as well as the cobarbar chain
Embedding simple commutative monoids into simple refinement monoids
, 2008
"... Say that a cone is a commutative monoid that is in addition conical, i.e., satisfies x+y=0 ⇒ x=y=0. We show that cones (resp. simple cones) of many kinds orderembed or even embed unitarily into refinement cones (resp. simple refinement cones) of the same kind, satisfying in addition various divis ..."
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Cited by 13 (1 self)
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divisibility conditions. We do this in particular for all cones, or for all separative cones, or for all cancellative cones (positive cones of partially ordered abelian groups). We also settle both the torsionfree case and the unperforated case. Most of our results extend to arbitrary commutative monoids.
On D0L and HDT0L sets in monoids
"... We continue the study of interconnections between semigroup and language theory by studying D0L, DT0L and HDT0L sets in arbitrary monoids. We show that equivalence of D0L sets and strong equivalence of HDT0L sets are decidable in a suitable class of monoids. TUCS Research Group Mathematical Structu ..."
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We continue the study of interconnections between semigroup and language theory by studying D0L, DT0L and HDT0L sets in arbitrary monoids. We show that equivalence of D0L sets and strong equivalence of HDT0L sets are decidable in a suitable class of monoids. TUCS Research Group Mathematical
Arrows, like monads, are monoids
 Proc. of 22nd Ann. Conf. on Mathematical Foundations of Programming Semantics, MFPS XXII, v. 158 of Electron. Notes in Theoret. Comput. Sci
, 2006
"... Monads are by now wellestablished as programming construct in functional languages. Recently, the notion of “Arrow ” was introduced by Hughes as an extension, not with one, but with two type parameters. At first, these Arrows may look somewhat arbitrary. Here we show that they are categorically fai ..."
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Cited by 17 (1 self)
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Monads are by now wellestablished as programming construct in functional languages. Recently, the notion of “Arrow ” was introduced by Hughes as an extension, not with one, but with two type parameters. At first, these Arrows may look somewhat arbitrary. Here we show that they are categorically
Complex representations of finite monoids
 Proc. London Math. Soc
, 1996
"... In this paper we study the complex representations of arbitrary finite monoids M. Let 9 be an irreducible character of a maximal subgroup (or Schiitzenberger group) of M. Related to the Schiitzenberger representations of M, we construct left and right induced characters 9 ~ and 9 ~ of the unit group ..."
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In this paper we study the complex representations of arbitrary finite monoids M. Let 9 be an irreducible character of a maximal subgroup (or Schiitzenberger group) of M. Related to the Schiitzenberger representations of M, we construct left and right induced characters 9 ~ and 9 ~ of the unit
On seminormal monoid rings
, 2005
"... Given a seminormal affine monoid M we consider several monoid properties of M and their connections to ring properties of the associated affine monoid ring K[M] over a field K. We characterize when K[M] satisfies Serre’s condition (S2) and analyze the local cohomology of K[M]. As an application we p ..."
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Cited by 8 (1 self)
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present criteria which imply that K[M] is Cohen–Macaulay and we give lower bounds for the depth of K[M]. Finally, the seminormality of an arbitrary affine monoid M is studied with characteristic p methods.
Results 1  10
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190