The notion of pseudo-valuations (valuations) on a BCC-algebra is introduced by using the Buşneag’s model ([1–3]), and a pseudo-metric is induced by a pseudo-valuation on BCC-algebras. Conditions for a real-valued function to be an BCK-pseudo-valuation are provided. The fact that the binary operation in BCC-algebras is uniformly continuous is provided based on the notion of (pseudo) valuation.

Basal cell carcinoma (BCC) is the most common malignancy. Exposure to sunlight is the most important risk factor. Most, if not all, cases of BCC demonstrate overactive Hedgehog signaling. A variety of treatment modalities exist and are selected based on recurrence risk, importance of tissue preservation, patient preference, and extent of disease. The pathogenesis, epidemiology, clinical feature...

Background: Non-melanoma skin cancer is the most common malignant tumor in humans. The role of ultraviolet radiation is well-known in the pathogenesis of basal cell carcinoma (BCC) and squamous cell carcinoma (SCC). CD10 is a zinc-dependent metallopeptidase known as common acute lymphoblastic leukemia antigen (CALLA). Although CD10 expression has been investigated in some cutaneous tumors, to o...

5. What did the investigators conclude? Over the past decade, the hedgehog (HH) pathway has been found to be altered in patients with both syndromic and sporadic basal cell carcinoma (BCC) (Rohatgi and Scott, 2007). This pathway, when regulated, controls cell growth; however, alteration of the pathway results in cancer due to failure of patched 1, a component of the HH pathway, to suppress the ...

Basal cell carcinoma (BCC) is the most common non-melanoma skin cancer. Exposure to ultraviolet light is an important risk factor for BCC development and the disorder therefore develops commonly on body areas that are more exposed to sunlight, such as the face and neck. It is uncommon in the closed area of the body and quite rare in the perianal and genital regions. Herein, we report a 34-year-...

Nevoid basal cell carcinoma syndrome (NBCCS), also known as Gorlin syndrome, is a rare hereditary condition characterized by a wide range of developmental abnormalities and a predisposition to neoplasms. The syndrome consists of early-onset and/or multiple BCC. Herein we report a rare NBCCS case in which the first BCC onset occurred in the groin area. To the best of our knowledge, there have be...

To the Editor, Basal cell carcinoma (BCC) is one of the most common cutaneous malignancies. Although it constitutes 75% of non-melanoma cutaneous malignancies, it develops in the perianal region in less than 1% of cases (1,2). Even though histopathologic findings of BCC developing in the perianal region are similar to those of BCC seen in other regions, perianal cancers behave much more aggress...

Basal cell carcinoma (BCC) is the most common cutaneous malignancy. Giant BCCs are quite rare. They can cause extensive local invasion, disfigurement, and metastasis. We present a case of a 58-year-old woman with an unrecognized and inadequately treated ulcerated giant BCC sized 12.5 × 10.0 cm that occurred on her left lower leg without any sign of metastasis. Neglect and inadequate treatment o...