Skew-monoidal structures on simple rings with several objects.
Skew-representations of a group by transformations on its subgroups
Skewsquares in quadratical quasigroups
The concept of pseudosquare in a general quadratical quasigroup is introduced and connections to some other geometrical concepts are studied. The geometrical presentations of some proved statements are given in the quadratical quasigroup .
is not boundedly generated by elementary matrices: explicit proof.
SL2 actions and cohomology of Schubert varieties
Slender modules, endo-slender abelian groups and large cardinals
Slices étales
Slim groupoids
Slim groupoids are groupoids satisfying . We find all simple slim groupoids and all minimal varieties of slim groupoids. Every slim groupoid can be embedded into a subdirectly irreducible slim groupoid. The variety of slim groupoids has the finite embeddability property, so that the word problem is solvable. We introduce the notion of a strongly nonfinitely based slim groupoid (such groupoids are inherently nonfinitely based) and find all strongly nonfinitely based slim groupoids with at most four...
Small almost free modules with prescribed topological endomorphism rings
Small Cancellation Conditions Satisfield by One-Relator Groups.
Small cancellation theory and automatic groups.
Small cancellation theory and automatic groups: Part II.
Small Cancellation Theory over Free Products with Amalgamation.
Small idempotent clones. I
G. Grätzer and A. Kisielewicz devoted one section of their survey paper concerning -sequences and free spectra of algebras to the topic “Small idempotent clones” (see Section 6 of [18]). Many authors, e.g., [8], [14, 15], [22], [25] and [29, 30] were interested in -sequences of idempotent algebras with small rates of growth. In this paper we continue this topic and characterize all idempotent groupoids with (see Section 7). Such groupoids appear in many papers see, e.g. [1], [4], [21], [26,...
Small maximal sum-free sets.
Small profinite m-stable groups
A small profinite m-stable group has an open abelian subgroup of finite ℳ-rank and finite exponent.
Smallest A-ideals in semigroups.
Small-sum pairs in abelian groups
Let be an abelian group and two subsets of equal size such that and both have size . Answering a question of Bihani and Jin, we prove that if is aperiodic or if there exist elements and such that has a unique expression as an element of and has a unique expression as an element of , then is a translate of . We also give an explicit description of the various counterexamples which arise when neither condition holds.
Smith equivalence and finite Oliver groups with Laitinen number 0 or 1.
Smooth components of Springer fibers
This article studies components of Springer fibers for that are associated to closed orbits of on the flag variety of . These components occur in any Springer fiber. In contrast to the case of arbitrary components, these components are smooth varieties. Using results of Barchini and Zierau we show these components are iterated bundles and are stable under the action of a maximal torus of . We prove that if is a line bundle on the flag variety associated to a dominant weight, then the higher...