We define the derivation module for a homomorphism of inverse semigroups, generalizing a construction for groups due to Crowell. For a presentation map from a free inverse semigroup, we can then define its relation module as the kernel of a canonical map from the derivation module to the augmentation module. The constructions are analogues of the first steps in the Gruenberg resolution obtained...

Extramedullary plasmacytoma (EMP) is a rare neoplasm of soft tissue which usually arises in the respiratory tract, nasal cavity, sinuses and nasopharynx. Multiple extramedullary plasmacytomas are extremely rare, especially those that are not associated with multiple myeloma.We describe multiple primary EMP in a 37 year old man, without involvement of bone or bone marrow. EMP usually has a ...

For a ring R, we denote by R[L] the free R-module spanned by the isotopy classes of singular links in S. Given two invertible elements x, t ∈ R, the HOMFLY-PT skein module of singular links in S (relative to the triple (R, t, x)) is the quotient of R[L] by local relations, called skein relations, that involve t and x. We compute the HOMFLY-PT skein module of singular links for any R such that (...

We find a relationship between the graded quotients of a filtered holonomic D-module, their duals as coherent sheaves, and the characteristic variety, in case the filtered D-module underlies a polarized Hodge module on a smooth algebraic variety. The proof is based on M. Saito’s result that the associated graded module is Cohen–Macaulay, and on local duality for the cotangent bundle. The result...

In this paper we study the module contractibility ofBanach algebras and characterize them in terms the conceptssplitting and admissibility of short exact sequences. Also weinvestigate module contractibility of Banach algebras with theconcept of the module diagonal.

abstract. let (r,p) be a noetherian unique factorization do-main (ufd) and m be a finitely generated r-module. let i(m)be the first nonzero fitting ideal of m and the order of m, denotedord_r(m), be the largest integer n such that i(m) ⊆ p^n. in thispaper, we show that if m is a module of order one, then either mis isomorphic with direct sum of a free module and a cyclic moduleor m is isomorphi...

in this work, we define fuzzy soft ($fs$) matrices and theiroperations which are more functional to make theoretical studies inthe $fs$-set theory. we then define products of $fs$-matrices andstudy their properties. we finally construct a $fs$-$max$-$min$decision making method which can be successfully applied to theproblems that contain uncertainties.

In the Standard Platform League of RoboCup, teams compete using the same hardware platform — the NAO humanoid robot. The NAO has two cameras, but only one can be used at one time. The camera image is the primary input to the robot’s cognition; the features detected by the vision module are used to self-localize and model objects in the world. In this paper, we focus on how the output of the vis...

extramedullary plasmacytoma (emp) is a rare neoplasm of soft tissue which usually arises in the respiratory tract, nasal cavity, sinuses and nasopharynx. multiple extramedullary plasmacytomas are extremely rare, especially those that are not associated with multiple myeloma.we describe multiple primary emp in a 37 year old man, without involvement of bone or bone marrow. emp usually has a good ...

non-hodgkin lymphoma usually presents with generalized lymphadenopathy, but it can also involve any part of the human body. lymphomatous involvement of muscles is a rare presentation and has been reported to occur in only 1.1% in non-hodgkin lymphoma. here we, present a 32 year-old iranian man with primary involvement of spleen, bone, bone marrow and muscle, mimicking soft tissue sarcoma; core ...