Isotopy Invariants in Quasigroups
نویسندگان
چکیده
منابع مشابه
Isotopy Theory Of Smarandache : Quasigroups And Loops ∗ †
The concept of Smarandache isotopy is introduced and its study is explored for Smarandache: groupoids, quasigroups and loops just like the study of isotopy theory was carried out for groupoids, quasigroups and loops. The exploration includes: Smarandache; isotopy and isomorphy classes, Smarandache f, g principal isotopes and G-Smarandache loops.
متن کاملSmarandache isotopy theory of Smarandache: quasigroups and loops
The concept of Smarandache isotopy is introduced and its study is explored for Smarandache: groupoids, quasigroups and loops just like the study of isotopy theory was carried out for groupoids, quasigroups and loops. The exploration includes: Smarandache; isotopy and isomorphy classes, Smarandache f, g principal isotopes and G-Smarandache loops.
متن کاملMilnor ’ S Isotopy Invariants and Generalized Link
It has long been known that a Milnor invariant with no repeated index is an invariant of link homotopy. We show that Milnor’s invariants with repeated indices are invariants not only of isotopy, but also of self Ck-moves. A self Ck-move is a natural generalization of link homotopy based on certain degree k clasper surgeries, which provides a filtration of link homotopy classes.
متن کاملSmarandache Isotopy Theory Of Smarandache: Quasigroups And Loops ∗† Tèmító.pé. Gbó.láhàn Jaíyéo.lá Department of Mathematics,
The concept of Smarandache isotopy is introduced and its study is explored for Smarandache: groupoids, quasigroups and loops just like the study of isotopy theory was carried out for groupoids, quasigroups and loops. The exploration includes: Smarandache; isotopy and isomorphy classes, Smarandache f, g principal isotopes and G-Smarandache loops.
متن کاملSelf Delta-equivalence for Links Whose Milnor’s Isotopy Invariants Vanish
For an n-component link, Milnor’s isotopy invariants are defined for each multi-index I = i1i2...im (ij ∈ {1, ..., n}). Here m is called the length. Let r(I) denote the maximum number of times that any index appears in I. It is known that Milnor invariants with r = 1, i.e., Milnor invariants for all multi-indices I with r(I) = 1, are link-homotopy invariant. N. Habegger and X. S. Lin showed tha...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1970
ISSN: 0002-9947
DOI: 10.2307/1995510