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Characteristic Kernels on Groups and Semigroups
2008
Neural Information Processing Systems
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Necessary and sufficient conditions for an RKHS to be characteristic exist for R n . In the present work, conditions are established for an RKHS to be characteristic on groups and semigroups. ...
Several such domains constitute topological groups/semigroups, and our focus is on kernels defined by their algebraic structure. ...
kernels on the semigroup R n
+ In this section, we consider kernels on an Abelian semigroup (S, +). ...
dblp:conf/nips/FukumizuSGS08
fatcat:fqdl4ohdona2bpzsmmkga7ee6u
Page 443 of Mathematical Reviews Vol. 16, Issue 5
[page]
1955
Mathematical Reviews
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If S is left inversible it is also right inversible, and vice-versa, and the Suschkewitsch kernel of S is the same as the maximal sub- group G of S containing e (group of zeroids of S). ...
A semigroup without zero is a homo- group if and only if it is reversible and contains a minimal right ideal and a minimal left ideal. ...
Page 936 of Mathematical Reviews Vol. , Issue 2002B
[page]
2002
Mathematical Reviews
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Summary: “For a congruence p on an inverse semigroup, there exist the greatest and least congruences pT and pt [resp. pK and pK] respectively in the trace class [resp. the kernel class] of p. ...
Let X and Y be finite-dimensional vector spaces over a field K with characteristic zero, L(X ) the semigroup of linear transforma- tions of X into itself, and L( Y)°? the left-right dual of L(Y). ...
Page 2636 of Mathematical Reviews Vol. , Issue 84g
[page]
1984
Mathematical Reviews
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For an abstract completely simple semigroup S_ they characterize the subsets of S and the corresponding equivalence relations on E that form the kernel-trace pairs of congruences on S. ...
GROUP THEORY AND GENERALIZATIONS
2636
Although there is a well-developed theory for congruences on completely simple semigroups [see, for example, J. M. ...
On Minimal Fuzzy Ideals of Semigroups
2013
Journal of Mathematics
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It has been shown that the product of minimal fuzzy left ideal and minimal fuzzy right ideal of a semigroup forms a group. ...
The present paper contains the sufficient condition of a fuzzy semigroup to be a fuzzy group using fuzzy points. The existence of a fuzzy kernel in semigroup is explored. ...
Let a semigroup have at least one minimal fuzzy le ideal and at least one minimal fuzzy right ideal of then the fuzzy kernel of is completely simple semigroup. Proof. ...
doi:10.1155/2013/475190
fatcat:vacf7nlhvvfvnaogcspkzeatpu
Characteristic Kernels on Structured Domains Excel in Robotics and Human Action Recognition
[chapter]
2010
Lecture Notes in Computer Science
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Recent works established conditions for characteristic kernels on groups and semigroups. Here we study characteristic kernels on periodic domains, rotation matrices, and histograms. ...
Our kernel-based methods with tailored characteristic kernels outperform previous methods on robotics problems and also on a widely used benchmark for recognition of human actions in videos. ...
[7] extended Fourier analysis to groups and semigroups and obtained necessary conditions for defining characteristic kernels on spaces other than R n . ...
doi:10.1007/978-3-642-15880-3_23
fatcat:sj7f2s5dpvawbpmfmrmpxqhyja
Automorphism groups of superextensions of finite monogenic semigroups
[article]
2019
arXiv
pre-print
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In the paper we study automorphisms of the superextensions of finite monogenic semigroups and characteristic ideals in such semigroups. ...
In particular, we describe the automorphism groups of the superextensions of finite monogenic semigroups of cardinality ≤ 5. ...
On the other hand, the definition of the semigroup operation on Proof. ...
arXiv:1908.00791v1
fatcat:upfh67p2a5dfzgrv72rrxynogi
Page 2450 of Mathematical Reviews Vol. , Issue 98D
[page]
1998
Mathematical Reviews
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The definitions are based on a one-parameter semigroup of continuous linear operators acting on the set of the infinitely divisible characteristic functions on S. ...
m is t-regular and symmetric on G (where K = EGF is the kernel of the semigroup); also, a similar representation holds for restrictions to certain sub-o algebras. ...
Affine semigroups over an arbitrary field†
1965
Proceedings of the Glasgow Mathematical Association
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We then obtain a decomposition of S into a group, an algebra, and two vector spaces. ...
For fields of characteristic different from two the concepts coincide. Note, however, that if O is the field of order two, then any mapping on V satisfies the condition since a can only be 0 or 1. ...
Let S be an affine semigroup over afield of characteristic different from two with kernel K<=-E. ...
doi:10.1017/s2040618500035231
fatcat:l3adhev5vja5xbslq6dqlrf4ue
Page 483 of Mathematical Reviews Vol. 52, Issue 2
[page]
1976
Mathematical Reviews
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The author (1) characterizes the kernel of any left congruence on S and shows how to reconstruct a left con- gruence from its kernel, (2) characterizes those partitions of Es which are induced by left ...
.
, given (PA) mining regular ce rela- IVA, nstruc- TULA ar sub- IVA Perties ed on =n and at all egular m, an ices of
Mass.) 3381
3378- r (the vious 43376 *s the group group
ass.) 3382
well- esent
.con ...
Page 4155 of Mathematical Reviews Vol. , Issue 83j
[page]
1983
Mathematical Reviews
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Given finite or infinite intervals J and J, the integral operator on
L,(/) with kernel
K(x,y)= ae "o(x,£)dé
is considered where 6 €5(R’) is assumed to be a rapidly decreasing matrix function. ...
These three
classes of functions contain the spherical functions on all rank one
homogeneous spaces. The usual proof of the vanishing relations is to find the kernel explicitly. ...
Page 1394 of Mathematical Reviews Vol. 50, Issue 5
[page]
1975
Mathematical Reviews
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Then he characterizes group kernel normal systems in a P-semigroup and, using Preston’s construction for idempotent separating congruences on inverse semigroups by means of group kernel normal systems ...
An abstract characteristic for S, is given: A semi- group T is isomorphic to S; if and only if T contains a densely imbedded left ideal isomorphic to the direct product of S and a left singular semigroup ...
On the cohomology of finite semigroups
1969
Journal of Algebra
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The cohomology of semigroups exhibits some distinctively different characteristics from that of groups. ...
Theorem 2.3 may now be paraphrased by saying that the cohomology of any finite semigroup is determined by the maximal subgroup of the kernel and by the action of the semigroup on the set of minimal right ...
The cohomology of semigroups exhibits some distinctively different characteristics from that of groups. ...
doi:10.1016/0021-8693(69)90093-3
fatcat:hpwckqvd5jdodhdr65l32me2he
Page 5700 of Mathematical Reviews Vol. , Issue 90J
[page]
1990
Mathematical Reviews
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There have been a number of recent papers on the study and clas- sification of groups and semigroups with permutation properties, especially for n = 3 and n = 4. ...
The author provides a classification scheme for #y%(R) when R is a field of characteristic 0 and shows that in this case the group of units in #(R) is the Schur group of R.
F. ...
Algebraic algebras over Π-regular rings
1973
Journal of Algebra
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It follows that complete matric algebra 0, and group (semigroup) algebras Q(S) of a group (semigroup) S which is locally finite [lb, Theorem 2, Corollary l] are algebraic algebras. ...
It can be verified that a E A is algebraic if and only if a is a root of some manic polynomial f(t) = t" + an-p-l + ... + a$ E cqt] of degree n > 1 and without constant term. ...
A positive answer to this question will give then a semigroup generalization of Burnside's result on a group of matrices. ...
doi:10.1016/0021-8693(73)90153-1
fatcat:6tyh7f22qvho3erju7xsamxcg4
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